Carlos Mudarra

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About

I am a Marie Curie Fellow working at the Department of Mathematical Sciences at NTNU. My research fields are complex, functional, and harmonic analysis, including: Ap/Bp weights, BMO functions, fractals, convex functions, approximation in Banach spaces, and Whitney-type extension problems.

Here is my CV

Contact

Email: carlos.mudarra@ntnu.no

Institutt for matematiske fag (IMF) NTNU

Address: Room 906, Sentralbygg 2, Gløshaugen, Alfred Getz vei 1. 7491 Trondheim, Norway




Papers and preprints

  1. Characterizations for arbitrary Békollé-Bonami weights, (with K.-M. Perfekt), preprint (2025). pdf. arXiv
  2. Approximation in Hölder spaces, (with T. Oikari), Advances in Mathematics, 482 (2025), Paper No. 110634, 42 pp. pdf. arXiv
  3. Weak porosity on metric measure spaces, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, to appear. available at: pdf. arXiv
  4. Traces of vanishing Hölder spaces, (with K. Mohanta and T. Oikari), Journal of Geometric Analysis, 35 (2025), no.1, Paper No. 34, 26 pp. pdf. arXiv
  5. Weakly porous sets and Muckenhoupt Ap distance functions, (with T.C. Anderson, J. Lehrbäck and A. Vähäkangas), Journal of Functional Analysis, 287 (2024), no.8, Paper No. 110558, 34 pp. pdf. arXiv
  6. Characterizations of weak reverse Hölder inequalities on metric measure spaces, (with J. Kinnunen and E.-K. Kurki), Mathematische Zeitschrift, 301 (2022), no.3, 2269-2290. pdf
  7. On the extension of Muckenhoupt weights in metric spaces, (with E.-K. Kurki), Nonlinear Analysis, 215 (2022), Paper No. 112671, 20 pp. pdf
  8. C1,ω extension formulas for 1-jets on Hilbert spaces, (with D. Azagra), Advances in Mathematics, 389 (2021), Paper No. 107928, 44 pp. pdf
  9. Kirszbraun's theorem via an explicit formula, (with D. Azagra and E. Le Gruyer), Canadian Mathematical Bulletin, 64 (2021), no.1, 142-153. pdf
  10. Convex C1 extensions of 1-jets from compact subsets of Hilbert spaces, (with D. Azagra), Comptes Rendus. Mathématique. Académie des Sciences. Paris, 358 (2020), no.5, 551-556. pdf
  11. Extensions of convex functions with prescribed subdifferentials, (with D. Azagra, J. Ferrera and J. Gómez-Gil), Studia Mathematica, 253 (2020), no.2, 199-213. pdf
  12. Prescribing tangent hyperplanes to C1,1 and C1,ω convex hypersurfaces in Hilbert and superreflexive spaces, (with D. Azagra), Journal of Convex Analysis, 27 (2020), no.1, 79-102. pdf
  13. Approximation of Lipschitz functions preserving boundary values, (with R. Deville), Journal of Optimization Theory and Applications, 182 (2019), no.3, 885-905. pdf
  14. Smooth convex extensions of convex functions, (with D. Azagra), Calculus of Variations and Partial Differential Equations, 58 (2019), no.3, Art. 84, 27 pp. pdf
  15. Global geometry and C1 convex extensions of 1-jets, (with D. Azagra), Analysis & PDE, 12 (2019), no.4, 1065-1099. pdf
  16. Explicit formulas for C1,1 and C1,ωconv extensions of 1-jets in Hilbert and superreflexive spaces, (with D. Azagra and E. Le Gruyer), Journal of Functional Analysis, 274 (2018), no.10, 3003-3032. pdf
  17. Whitney extension theorems for convex functions of the classes C1 and C1,ω, (with D. Azagra), Proceedings of the London Mathematical Society, 114 (2017), no.1, 133-158. pdf
  18. An extension theorem for convex functions of class C1,1 on Hilbert Spaces (with D. Azagra), Journal of Mathematical Analysis and Applications, 446 (2017), no.2, 1167-1182. pdf
  19. Global approximation of convex functions by differentiable convex functions on Banach spaces, (with D. Azagra), Journal of Convex Analysis, 22 (2015), no.4, 1197-1205. pdf

PhD Thesis: Thesis

Teaching and Lecture Notes

Linear methods
Fall 2025, NTNU - Homepage

Complex Analysis
Spring 2025, NTNU - Lecture Notes · Homepage

Complex Function Theory and Differential Equations
Fall 2024, NTNU - Lecture Notes · Homepage

Harmonic Analysis
Spring 2024, NTNU - Homepage

Supervision

Here you can find the Master's and Bachelor's projects I offer