I have been a supervisor of PhD students from 15 different countries, a full list of students (71 finished so far and 5 current ones) can be found further below.

The following persons have finished their PhD exams in mathematics with **Lars-Erik Persson** as a supervisor (in almost all of the cases with LEP as the scientific main supervisor):

**Nils Svanstedt**1992. Main direction of research: Nonlinear PDE, Homogenization Theory. Latest position: Professor in mathematics at Chalmers University, Gothenburg, Sweden.

Title of PhD thesis: G-convergence and Homogenization of Sequences of Linear and Nonlinear Partial Differential Operators.

(L1)Title of Licentiate thesis (1990): Homogenization of some Scales of Partial Differential Equations.**Thomas Strömberg**1994. Main direction of research: Variational Analysis, Convexity Theory, Hamilton-Jacobi Equations. Current position: Associate Professor and Docent in mathematics at Luleå University of Technology.

Title of PhD thesis: A study of the Operation of Infimal Convolution.

(L2)Title of Licentiate thesis (1992): On Infimal Convolution and a Related Operation Connected to a Young-type Inequality with Applications.**Andrejs Dunkels**1996. Main direction of research: Mathematics Education. Remark: Professor Henning Johansson, Centre for research in teaching and education at Luleå University of Technology, was the supervisor concerning the didactical part of this thesis. Latest Position: Associate Professor in mathematics at Luleå University of technology.

Title of PhD thesis: Contributions to Mathematical Knowledge and its Acquisition.**Anders Holmbom**1996. Main direction of research: Analysis, Homogenization Theory. Current position: Professor in mathematics at Mid-Sweden University in Östersund, Sweden.

Title of PhD thesis: Some Modes of Convergence and their Application to Homogenization and Optimal Composites Design.

(L3)Title of Licentiate thesis (1993): Homogenization Applied to some Problems in Mechanics.**Dag Lukkassen**1996. Main direction of research: Nonlinear PDE, Homogenization Theory. Current position: Professor in mathematics at UiT The Artic University of Norway, Campus Narvik.

Title of PhD thesis: Formulae and Bounds Connected to Optimal Design and Homogenization of Partial differential Operators and Integral Functionals.**Stefan Ericsson**1997. Main direction of research: Interpolation Theory, Wavelets Theory. Current position: Associate Professor in mathematics at Luleå University of Technology, Sweden.

Title of PhD thesis: Contributions to Real Interpolation Theory.**Niklas Wellander**1998. Main direction of research: Nonlinear PDE, Homogenization Theory. Current position: Research Director at FOI Swedish Defence Research Agency in Linköping, Sweden.

Title of PhD thesis: Homogenization of some Linear and Nonlinear Partial Differential Equations.

(L4) Title of Licentiate thesis (1992): Mathematical and Numerical Modelling of the Induced Polarization Phenomenon.**Marianna Euler**1998. Main direction of research: Nonlinear Differential Equations, Grouptheoretic methods for solutions. Current position: Associate Professor and Docent in mathematics at Luleå University of Technology, Sweden.

Title of PhD thesis: Some Theoretical Methods for Solving Multidimensional Nonlinear Partial Differential Equations.**Peter Wall**1998. Main direction of research: Nonlinear PDE, Homogenization Theory. Current position: Chair Professor in mathematics at Luleå University of Technology, Sweden.

Title of PhD thesis: Homogenization of some Partial differential Operators and Integral Functionals.

(L5) Title of Licentiate thesis (1994). Optimal Bounds on the Effective Properties of Multiphase Materials by Homogenization.**Sorina Barza**2000. Main direction of research: Inequalities, Functional Analysis. Current position: Associate Professor and docent in mathematics at Karlstad University, Sweden.

Title of PhD thesis: Weighted Multidimensional Integral Inequalities and Applications.

(L6) Title of Licentiate thesis (1997): Some Sharp Multidimensional Integral Inequalities.**Ove Lindblom**2001. Main direction of research: Nonlinear PDE, Grouptheoretic methods for solutions. Latest known position: Associate Professor in mathematics at University of Gävle/ Sandviken. Now retired.

Title of PhD thesis: Painlevé Analysis and Transformations for Nonlinear Partial Differential Equations.

(L7)Title of Licentiate thesis (1997): Investigations of Bending Waves in Plates and Properties of Nonlinear Wave Equations.**Johan Byström**2002. Main direction of research: Homogenization Theory, Nonlinear PDE, Applications to Composites Engineering. Current position: Associate Professor in mathematics at Luleå University of Technology.

Title of PhD thesis: Some Mathematical and Engineering Aspects of the Homogenization Theory.

(L8)Title of Licentiate thesis (1999): Some New Developments and Applications of the Homogenization Theory.**Maria Nassyrova**2002. Main direction of research: Inequalities, Functional Analysis. Current position: Senior Researcher at Khabarovsk State University, Russia.

Title of PhD thesis: Weighted Inequalities Involving Hardy-type and Limiting Geometric Mean Operators.**Niklas Grip**2003. Main direction of research: Gabor and Wavelets theory, Applications to Signal Processing. Current position: Associate Professor and docent in mathematics at Luleå University of Technology.

Title of PhD thesis: Wavelet and Gabor Frames and Bases – Approximation, Sampling and Applications.

(L9)Title of Licentiate thesis (2000): Hilbert Space Frames and Bases-A Comparison of Gabor and Wavelet Frames and Applications to Multicarrier Digital Communications.**Leon Simula**2003. Main direction of research: Homogenization Theory, Nonlinear PDE, Applications to Composites Engineering. Last known position: Researcher at UiT The Artic University of Norway, Campus Narvik.

Title of PhD thesis: Homogenization Theory for Structures of Honeycomb and Chessboard Structures.

(L10)Title of Licentiate thesis (2001): Some Recent Developments of the Homogenization Theory with Applications.**Dmtry Prokhorov**2003. Main direction of research: Inequalities, Functional Analysis. Current position: Senior Researchein mathematics at Khabarovsk State University, Russia.

Title of PhD thesis: Weighted Inequalities Involving Riemann-Liouville and Hardy-type Operators.**Anna Wedestig**2004. Main direction of research: Inequalities, Functional Analysis. Current position: Senior Lecturer at Luleå Gymnasium.

Title of PhD thesis: Weighted Inequalities of Hardy-Type and their Limiting Inequalities.

(L11)Title of Licentiate thesis (1999): Contributions to the Theory of Inequalities.**Evgueny Kuznetsov**2005. Main direction of research: Analysis. Latest known position: Senior Researcher at Luleå University of Technology.

Title of PhD thesis: Maximal Theorems and Calderón-Zygmund Type Decompositions for the Fractional Maximal Function.**Jonas Engström**2005. Main direction of research: Homogenization Theory, Nonlinear PDE, Applications to Composites Engineering. Current position: Senior researcher and developer at SICOMP, Piteå.

Title of PhD thesis: Some Developments of the Homogenization Theory and Related Questions.

(L12)Title of Licentiate thesis (2002): Some Contributions to Homogenization Theory.**Aigerim Kalybay**2006. Main direction of research: Inequalities, Functional Analysis. Current position: Associate Professor in mathematics at Eurasian National University, Astana, Kazakhstan.

Title of PhD thesis: A New Development of Nikolskii-Lizorkin and Hardy Type Inequalities with Applications.**Christopher Okpoti**2006. Main direction of research: Inequalities, Functional Analysis. Current position: Associate Professor in mathematics at University of Winneba, Ghana. Dean of the Department.

Title of PhD thesis: Weight Characterizations of Hardy and Carleman Type Inequalities.

(L13)Title of Licentiate thesis (2005): Weight Characterizations of Discrete Hardy and Carleman Type Inequalities.**Elena Ushakova**2006. Main direction of research: Inequalities, Functional Analysis. Current position: Senior Researcher in mathematics at Khabarovsk State University, Russia.

Title of PhD thesis: Norm Inequalities of Hardy and Pólya-Knopp Types.**Komil Kuliev**2007. Main direction of research : Parabolic Problems in PDE. The Method of Rothe. Latest known position: Associate Professor in mathematics at University of West Bohemia, Czech Republic.

Title of PhD thesis: Parabolic Problems on Noncylindrical Domains – The Method of Rothe.

(L14) Title of Licentiate thesis (2006): Parabolic Problems on Noncylindrical Domains – The Method of Rothe.**Gulchehra Kulieva**2007. Main direction of research : Parabolic Problems in PDE. The Method of Rothe. Latest known position: Teaching position in mathematics at University of West Bohemia, Czech Republic.

Title of PhD thesis: Some Special Problems in Elliptic and Parabolic Variational Inequalities.

(L15) Title of Licentiate thesis (2006): Some Special Problems in Elliptic and Parabolic Variational Inequalities.**Maria Johansson**2008. Main direction of research : Inequalities. Current position: Associate Professor and docent in mathematics education at Luleå University of Technology.

Title of PhD thesis: Carleman Type Inequalities and Hardy Type Inequalities for Monotone Functions.

(L16) Title of Licentiate thesis (2004): Hardy and Carleman Type Inequalities.**Emmanuel Kwame Essel**2008. Main direction of research : Homogenization Theory, Nonlinear PDE, Applications in Tribology. Current position: Associate Professor in mathematics and Dean at University of Cape Coast, Ghana

Title of PhD thesis: Homogenization of Reynolds Equations and of some Parabolic Problems via Rothe´s Method.

(L17)Title of Licentiate thesis (2007): Homogenization of Reynolds Equations.**Zamira Abdikalikova**2009. Main direction of research : Inequalities, Functional Analysis. Current position: Associate Professor in mathematics at Eurasian National University, Astana, Kazakhstan

Title of PhD thesis: Some new Results concerning Boundedness and Compactness for Embeddings between Spaces with Multiweighted Derivatives.

(L18)Title of Licentiate thesis ((2007): Embedding Theorems for Spaces with Multiweighted Derivatives.**Guy Beeri**2009. Main direction of research: Homogenization Theory, Nonlinear PDE, Applications in Material Sciences. Current position: Associate Professor at UiT The Artic University of Norway, Campus Narvik.

Title of PhD thesis: Some Mathematical, Numerical and Engineering Aspects of Composite Structures and Perforated Solids.**Irina Pankratova**2009. Main direction of research : Homogenization theory, Nonlinear PDE. Current position: Associate Professor in mathematics at UiT The Artic University of Norway, Campus Narvik.

Title of PhD thesis: Homogenization of Elliptic Equations in Thin Cylinders and Related Qualitative Problems.

(L19) Title of Licentiate thesis (2009): Convection-Diffusion Equation in Unbounded Cylinder and Related Homogenization Problems.**Anca-Nicoleta Marcoci**2010. Main direction of research : Functional Analysis, Function Spaces, Inequalities. Current position: Associate Professor in mathematics at Technical University of Civil Engineering, Bucharest, Romania.

Title of PhD thesis: Some New Results Concerning Banach Spaces of Infinite Matrices and Lorentz Sequence Spaces.

(L20) Title of Licentiate thesis (2009): Some New Results Concerning Lorentz Sequence Spaces and Schur Multipliers.**Liviu-Gabriel Marcoci**2010. Main direction of research : Functional Analysis, Function Spaces, Inequalities. Current position: Associate Professor in mathematics at Technical University of Civil Engineering, Bucharest, Romania.

Title of PhD thesis: A Study of Schur Multipliers and some Banach Spaces of Infinite Matrices.

(L21) Title of Licentiate thesis (2009): Some New Results Concerning Schur Multipliers and Duality Results Between Bergman-Schatten and Little Bloch Spaces.**Kristina Krulic**2010. Main direction of research : Functional Analysis, Inequalities. Current position: Associate Professor at University of Zagreb, Croatia.

Title of PhD thesis: Generalizations and Refinements of Hardy´s Inequality.**Yulia Koroleva**2010. Main direction of research : Homogenization theory, Nonlinear PDE. Latest known position: Researcher in mathematics at Moscow Lomonosov State University, Moscow, Russia.

Title of PhD thesis: Integral Inequalities of Hardy and Friedrichs types with Applications to Homogenization Theory.

(L22) Title of Licentiate thesis (2009): Some New Friedrichs-Type Inequalities in Domains with Microhomogeneous Structure.**Klas Pettersson**2010. Main direction of research : Homogenization theory, Nonlinear PDE. Current position: Associate Professor in mathematics at UiT The Artic University of Norway, Campus Narvik.

Title of PhD thesis: Homogenization of Some Elliptic Equations with Connections to Elasticity.**John Fabricius**2011. Main direction of research: Homogenization theory, Nonlinear PDE, Applications in Tribology. Current position: Associate Professor in mathematics at Luleå University of Technology.

Title of PhD thesis: Homogenization of some problems in hydrodynamic lubrication involving rough boundaries.

(L23) Title of Licentiate thesis (2008): Homogenization theory with applications in Tribology.**Lyazzat Sarybekova**2011. Main direction of research: Inequalities, Functional Analysis, Fourier Multipliers. Current position: Associate Professor in mathematics at Eurasian National University.

Title of PhD thesis: Some new Fourier Multiplier Results of Lizorkin and Hörmander Types.

(L24) Title of Licentiate thesis (2009): Some new Lizorkin Multiplier Theorems for Fourier Series and Transforms.**Olga Popova**2012. Main direction of research : Inequalities. Latest known position: Researcher in mathematics at Moscow Lomonosov State University, Moscow, Russia.

Title of PhD thesis: Weighted Hardy-Type Inequalities on the Cones of Monotone and Quasi-Concave Functions.

(L25) Title of Licentiate thesis (2011): Hardy-Type Inequalities on Cones of Monotone Functions.**Alessandra Ragusa**2012 Main direction of research :Nonlinear PDE, Function Spaces. Current position: Professor at University of Catania, Italy.

Title of PhD thesis: Partial Differential Equations and Systems Related to Morrey Spaces.**Larissa Arendarenko**2013. Main direction of research : Inequalities, Fourier Analysis. Current position: Associate Professor at Eurasian National University.

Title of PhD thesis: Weighted Hardy-Type Inequalities on the Cones of Monotone and Quasi-Concave Functions

(L26) Title of Licentiate thesis (2011): Hardy-Type Inequalities for Integral operators with Kernels.**GeorgeTephnadze**2015. Main direction of research :Harmonic analysis, Hardy Spaces, Vilinkin-Fourier series. Latest known position: Associate Professor in mathematics at Tbilisi State University.

Title of PhD thesis: Martingale Hardy Spaces and Summability of the One Dimensional Vilinkin-Fourier Series.**AinurTemirkhanova**2015. Main direction of research : Inequalities, Functional Analysis. Current position: Associate Professor in mathematics at Eurasian National University, Astana, Kazakhstan.

Title of PhD thesis: Estimates for Discrete Hardy-type Operators in Weighted Sequence Spaces. .

(L27) Title of Licentiate thesis (2009): Some New Boundedness and Compactness Results for Discrete Hardy Type Operators with Kernels.**Mervis Kikonko**2016. Main direction of research: Differential equations, Sturm-Liouville problems. Current position: Associate Professor in mathematics at University of Zambia.

Title of PhD thesis: Some results Concerning General Weighted Regular Sturm-Liouville Problems.

(L28) Title of Licentiate thesis (2014): Qualitative and Spectral Theory of Some Regular Non-Definite Sturm-Liouville Problems.**Akbota Abylayeva**2016. Main direction of research : Inequalities, Functional Analysis. Current position: Associate Professor in mathematics at Eurasian National University, Astana, Kazakhstan.

Title of PhD thesis: Inequalities for Some Classes of Hardy-type Operators and Compactness in Weighted Lebesgue Spaces.**Afonso Fernando Tsandzana**2016. Main direction of research: Partial Differential Equations, Homogenization Theory. Current position: Associate Professor in mathematics at Eduardo Mondlane University.

Title of PhD thesis: Homogenization of Some New Mathematical Models in Lubrication Theory. .

(L29) Title of Licentiate thesis (2014): Homogenization with Applications in Lubrication Theory.**Martin Krepela**2016. Main direction of research : Inequalities in Function Spaces. Latest known position: PostDoc in Czech Republic. Swedish main supervisor was Docent Sorina Barza. Main supervisor from Czech Republic: Professor Lubos Pick.

Title of PhD thesis: The Weighted Space Odyssey. .

(L30) Title of Licentiate thesis (2014): Forever Young: Convolution Inequalities in weighted Lorentz-type Spaces.**Ralph Höibakk**2017. Main direction of research : Number theory, Homogenization, means. Current position: Parttime Associate Professor at UiT The Artic University of Norway, Campus Narvik.

Title of PhD thesis: Solutions to some Problems Related to Diophantine Equation, Power Means and Homogenization Theory .**Aigerim Kopezhanova**2017. Main direction of research : Inequalities, Fourier Analysis. Current position: Associate Professor in mathematics at Eurasian National University.

Title of PhD thesis: Summability of Fourier Transforms of Functions from Lorentz Spaces.

(L31) Title of Licentiate thesis (2010): Relations Between Functions from some Lorentz Type Spaces and Summability of Their Fourier**Raya Akhmetkaliyeva**2018. Main direction of research: Partial Differential Equations. Current position: Associate Professor in mathematics at Eurasian National University, Kazakhstan.

Title of PhD thesis: Coercive estimates for solutions of singular differential equations and their applications.

(L32) Title of Licentiate thesis (2013): Coercive Estimates for the Solutions of some Singular Differential Equations and their Applications.**Guldarya Shambilova**2018. Main direction of research: Inequalities, Functional Analysis. Current position: Associate Professor in mathemats at RUDN University, Moscow.

Title of PhD thesis: Some New Hardy-Type Inequalities on the Cone of Monotone Functions.**Serikbol Shaimardan**2018. Main direction of research : Inequalities in q-analysis. Current position: Associate Professor in mathematics at Eurasian National University, Astana, Kazakhstan.

Title of PhD thesis: Hardy-type Inequalities in Quantum Analysis,

(L33) Title of Licentiate thesis (2015): Some New Hardy-type Inequalities in q-analysis.

* The following persons have finished their PhD exams in “Matematik och Lärande” (Mathematics Education) with **Lars-Erik Persson** as supervisor in mainly mathematics (and with Professor **Barbro Grevholm** (51,52,53), **Rudolf Strässer** (53), **Eva Jablonka** (54), **Iiris Attorps** (56) and **Ragnhild Johanne Rensaa **(57) as responsible supervisors in the didactical part):

51. **Kristina Juter ** 2006. Main direction of research: Mathematics Education. Current position: Professor in mathematics education at Kristianstad University,

Title of PhD thesis: Limits of Functions – University Students´ Concept Development.

(L34)Title of Licentiate thesis (2003): Learning Limits of Functions – University Students´ Development During a Basic Course in Mathematics.

52.** Örjan Hansson ** 2006. Main direction of research: Mathematics Education. Current position: Associate Professor in mathematics education at Kristianstad University.

Title of PhD thesis: Studying the Views of Preservice Teachers on the Concept of Function.

(L35)Title of Licentiate thesis (2004): Preservice Teachers´ view on the Concept of Function – A Study Including the Utilization of Concepts Maps.

53. **Monica Johansson** 2006. Main direction of research: Mathematics Education. Current position: Associate Professor in mathematics education and Chief of Department (prefect) at Luleå University of Technology.

Title of PhD thesis: Teaching Mathematics with Textbooks – A Classroom and Curricular Perspective.

(L36)Title of Licentiate thesis (2004): Textbooks in Mathematics Education – A Study of Textbooks as the Potentially Implemented Curriculum.

54. **Per-Eskil Persson** 2010. Main direction of research: Mathematics Education. Current position: Associate Professor in mathematics education at Malmö University.

Title of PhD thesis: Räkna med bokstäver-En longitudinell studie till förbättrad algebraundervisning på gymnasienivå. In Swedish.

(L36)Title of Licentiate thesis (2005): Bokstavliga Svårigheter – Faktorer som påverkar gymnasieelevers algebralärande. In Swedish.

55. **Olov Viirman **2014. Main direction of research: Mathematics Didactics. Title of PhD thesis: The Function Concept and University Mathematics Teaching.

56. **Mira Randahl** 2016. Main direction of research: Mathematics Didactics. Title of PhD thesis: Engineering Students Approaching the Mathematics Textbook as a Potential Learning Tool-Opportunities and Constraints

Moreover,

* The following person has finished her PhD exam at NTNU, Trondheim, with **Lars-Erik Persson** as thesis advisor and supervisor in mathematics:

57. **Annette Meidell** 2001. Main direction of research: Engineering design, effective properties and design of inhomogeneous structures, applications of homogenization to Composites Engineering. Current position: Professor in mathematics at UiT The Artic University of Norway, Campus Narvik. The advisor for the applied part was Professor **Steffen Zeuthen**.

Title of PhD thesis: Homogenization and Computational Methods for Calculating Effective Properties of some Cellular Solids and Composite Structures.

* The following persons have finished their PhD exams in mathematics at Uppsala University with **Lars-Erik Persson** as a supervisor (in both cases with Professor **Svante Janson** was the main supervisor):

58. **Leo Larsson** 2003. Main direction of research: Inequalities, Functional Analysis, Latest known position: Researcher and developer at a company for computer games. Title of PhD thesis: Carlson Type Inequalities and their Applications.

59. **Alice Lesser **2007. Main direction of research: Graph Theory, Metric Spaces. Latest known position: PhD position at Uppsala University

Title of PhD thesis: Optimal and Hereditarily Optimal Realizations of Metric Spaces.

* The following person has finished his PhD exam in scientific computing in a cooperation between Uppsala University and University of Dar es Salaam with **Lars-Erik Persson** and Professor **Bertil Gustafsson** as joint mainsupervisors:

60. **Narsis Mtega** 2005. Main direction of research: Scientific computing, beach erosion problems. Current position: Associate Professor in mathematics and Dean at Department of Scientific Computing, University of Dar es Salaam.

Title of PhD thesis: Mathematical Modeling and Numerical Solution of Run-up Waves on a Sloping Beach Extended with an Artificial Bottom.

* The following person has finished his PhD exam in mathematics at Uppsala University with **Lars-Erik Persson** as co-supervisor (Professor Warwick Tucker was the main supervisor):

61. **Tomas Johnson** 2009. Main direction of research : Computer-aided Proofs in Analysis.

Title of PhD thesis:Computer-aided Computation of Abelian Integrals and Robust Normal Forms.

(L39) Title of Licentiate thesis (2007): On some Computer-aided Proofs in Analysis.

* The following person has finished his PhD exam at Luleå University of Technology with **Lars-Erik Persson** as co-supervisor (Professor **Sven Knutsson** was the main supervisor in the main subject Soil Mechanics):

62. **Nina Lintzén** 2016. Main direction of research: Soil Mechanics, with applications to skiing, snow and climate change.

Title of PhD thesis: Properties of snow with Applications to Climate Change and Skiing.

**Licentiate exams**

In addition to those mentioned above the following persons have finished their Licentiate exams in mathematics with **Lars-Erik Persson** as a supervisor, in most cases as the main supervisor:

L40. **Anna Klisinska** 1999. Main direction of research: Mathematics Education, Analysis. Latest position: Associate Professor in mathematics education at Luleå University of Technology.

Title of Licentiate thesis (1999): Clarkson Type Inequalities and Geometric Properties of Banach Spaces.

L41. **Stein Arnold Berggren** 2001. Main direction of research: Homogenization Theory, Nonlinear PDE, Applications to Composites Engineering.

Title of Licentiate thesis: Some Theoretical, Numerical and Technical Aspects of the Homogenization Theory.

L42. **Erik Alapää **2004. Main direction of research : Error-correcting codes, Homogenization Theory, Nonlinear PDE.

Remark: This was a cooperation between Chalmers University of Technology (Professor Jöran Bergh), Narvik University College (Professor Dag Lukkassen) and Luleå University of Technology (Professor Lars-Erik Persson).

Title of Licentiate thesis: Topics in Applied Mathematics-Error-correcting Codes and Homogenization of PDE.

L43. **Elin Johansson** 2005. Main direction of research : Wavelets Theory with Applications to Signal Processing.

Title of Licentiate thesis: Wavelet Theory and some of its Applications.

L44.** Johan Dasht** 2005. Main direction of research : Homogenization Theory, Nonlinear PDE.

Title of Licentiate thesis: Some Developments of Homogenization Theory and Rothe´s Method.

L45. **Reinhold Näslund** 2005. Main direction of research : Conditional Symmetries of PDE, Mathematical Physics. .

Title of Licentiate thesis: Some Studies within Applied Mathematics with Focus on Conditional Symmetries of Partial Differential Equations and Bending Waves in Plates.

L46.**Elena Miroshnikova **2016. Main direction of research: Homogenization Theory, applications to tribology.

Title of Licentiate thesis: Some New Results in Homogenization of Flow in Porous Media with mixed Boundary Condition.

L47.**Evgeniya Burtseva** 2016. Main direction of research: Functional Analysis, Function Spaces, Operator Theory

Title of Licentiate thesis: Operators and Inequalities in Various Function Spaces and Their Applications.

L48.**Markos Fisseha Yimer **2023. Main direction of research: Functional Analysis, Inequalities, Operator Theory

Title of Licentiate thesis: Some New Contributions in the Theory of Hardy type Inequalities.

The following person has finished his Licentiate exam in Applied Mathematics at Mid-Sweden University with Lars-Erik Persson as a supervisor:

L49. **Marie Ohlsson Lundh** 2009. Main direction of research : Scientific Computing, Mathematical Modelling, Sports Engineering. Current position: Associate Professor at Mid-Sweden university.

Title of Licentiate thesis: New Methods for Movement Technique Development in Cross-country Skiing Using Mathematical Models and Simulation.

The following persons have finished their Licentiate exams in Mathematics Education with **Lars-Erik Persson **as a supervisor:

L50. **Anna Brändström** 2003. Main direction of research: Mathematics Education.

Title of Licentiate thesis: Differentiated Tasks in Mathematics Textbooks – An Analysis of the Levels of Difficulty.

L51. **Teresia Jacobsson-Åhl **2006. Main direction of research: Mathematics Education. Title of the Licentiate thesis: Algebra in Upper Secondary Mathematics – A Study of a Selection of Textbooks used in the years 1960-2000 in Sweden.

L52. **Lisbeth Lindberg** 2010. Main direction of research: Mathematics Education.

Title of the Licentiate thesis: Matematiken i yrkesutbildningen. Möjligheter och begränsningar. In Swedish.

The following person has finished her Licentiate exam in “Pedagogics “with Lars-Erik Persson as a co-supervisor:

L53. **Ylva Jannok Nutti **2007.

Title of Licentiate thesis: Matematiskt tankesätt inom den samiska kulturen utifrån samiska slöjdares och renskötares berättelser. In Swedish.

**PhD education 2018-2022** with main scientific basis Hotel Infinity (this name is given for LEPs home by LEPs PhD students since a lot of them have stayed there for free and made their scientific studies there).

Remark: The year 2018 was a dramatic year for LEP (then 74 years old) because

a) he got a very serious heart attack

b) he was unexpectedly divorced from Luleå University of Technology (the university of his heart in 43 years)

However, also under these heavy conditions he continued to be very loyal to the university and finalized the following three PhDs during this dramatic year 2018 with main basis his home Hotel Infinity where these students lived and studied:

1.**Raya Akhmetkaliyeva** 2018. Main direction of research: Partial Differential Equations. Current position: Associate Professor in mathematics at Eurasian National University, Kazakhstan.

Title of PhD thesis: Coercive estimates for solutions of singular differential equations and their applications.

2.**Guldarya Shambilova** 2018. Main direction of research: Inequalities, Functional Analysis. Current position: Associate Professor in mathemats at RUDN University, Moscow.

Title of PhD thesis: Some New Hardy-Type Inequalities on the Cone of Monotone Functions.

3.**Serikbol Shaimardan** 2018. Main direction of research : Inequalities in q-analysis. Current position: Associate Professor in mathematics at Eurasian National University, Astana, Kazakhstan.

Title of PhD thesis: Hardy-type Inequalities in Quantum Analysis.

Moreover, miraculously enough, with support of understanding friends, family and several universities around the world he could continue his remarkable successful PhD education as follows, now completely with Hotel Infinity as his main basis:

* The following persons have finished their PhD exams at UiT The Arctic University of Norway, Campus Narvik, with **Lars-Erik Persson** as a supervisor in the subject Applied Mathematics and Computational Engineering.

4. **Staffan Lundberg** 2018. Title of PhD thesis: Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs. Current position: Associate Professor Emeritus position in Mathematics at Luleå University of Technology. Remark: Professor Natasha Samko was the scientific main supervisor.

5. **Andreas Seger** 2020. Title of PhD thesis: Some New Contributions Related to Structural Problems in Engineering. Current position: Researcher at UiT The Arctic University of Technology and SINTEF, Narvik branch.

6. **Georgi Tutberidze ** 2021. Title of PhD thesis: A Study of Bounded Operators on Martingale Hardy Spaces Current position: Researcher at The University of Georgia.

7. **Harpal Singh ** 2021. Title of PhD thesis: Some new mathematical and engineering results connected to structural problems. Current position: Researcher at UiT The Arctic University of Norway

8. **Tsitsino Tepnadze ** 2022. Title of PhD thesis: Approximation Properties of Cesaro Means of Vilenkin-Fourier Series Problems Current position: Employed at an Imaging Processing Company in Germany.

9. **Kristoffer Tangrand ** 2023. Title of PhD thesis: Some new Contributions to Neural Netwoeks and Wavelets with Applications. Current position: Employed at SINTEF Community in Trondheim and part time at UiT The Arctic University of Norway..

* The following persons have finished his PhD exams at Eurasian National University, Kazakhstan, with **Lars-Erik Persson** as a supervisor in the subject mathematics:

10. **Gaziza Omarbayeva ** 2021. Title of PhD thesis: Weighted Estimates of Discrete Hardy-type Operators in Sequence Spaces Current position: Researcher at L.N. Gumiljov National University. Kazakhstan

11. **Nariman Tokmangambetov** 2022. Title of PhD thesis: Quantum Calculus and its Applications to Fractional Differential Equations Current position: Employed at Eurasian National University.

* The following persons have finished his PhD exams at Addis Abeba University, Ethiopia with **Lars-Erik Persson** as a supervisor in the subject mathematics:

**12. Markos Fisseha Yimer **2024. Title of PhD thesis: Integral equations and inequalities with refinements of some classical results. Current position: Researcher at Addis Abeba University, Ethiopia, in collaboration with Karlstad University, Sweden

**Current Ph.D. students**

At the moment the following persons are PhD students with Lars-Erik Persson as a supervisor:

**Davit Baramidze**Main direction of research: Harmonic analysis, Hardy Spaces, Vilinkin-Fourier series. Current position: PhD student at The University of Georgia, Georgia.**Joachim Jörgensen Ågotnes**Main direction of research: Engineering mathematics. Current position: PhD student at UiT The Arctic University of Norway, Campus Narvik**Azima Kidirova**Main direction of research: Integral inequalities, Interpolation. Current position: PhD position at Eurasian National University in Kazakhstan.**Bezuneh Minda Demissie**Main direction of research: Integral inequalities. Current position: PhD position at Karlstad University, Sweden.**Daniele Storni**Main direction of research: Structural problems connected to bridges investigated with engineering and mathematical methods. Current position: Industrial PhD student at UiT The Arctic University of Norway**Fissha Gashaw Aycheah**Main direction of research: Partial Differential Equations, Hardy-type inequalities and applcations Current position: PhD student at Addis Abeba University, Rthiopia.

Remark: This means that up to now LEP has been a supervisor for 71 persons with PhD exams and further 14 with Licentiate exams. And at the moment he is a supervisor for further 5 PhD students at four different universities

Last modified 2024-02-08 by **Lars-Erik Persson**