Research

Preprints
  1.  M. García-Bravo, T. Ikonen, Z. Zhu, Extensions and approximations of Banach-valued Sobolev functions, preprint 2022.
  2. M. García-Bravo, T. Rajala and J. Takanen, A necessary condition for Sobolev extension domains in higher dimensions, preprint 2022.
Accepted
  1. M. García-Bravo, T. Rajala and J. Takanen, Two-sided boundary points of Sobolev-extension domains on Euclidean spaces, to appear in Potential Analysis.
Published
  1. M. García-Bravo and T. Rajala, Strong BV-extension and W^{1,1}-extension domains, J. Funct. Anal. 283 (2022), no. 10,  109665, 39 pp.
  2. M. García-Bravo, T. Rajala and Z. Zhu, Bi-Lipschitz invariance of planar BV- and W^{1,1}-extension domains,  Proc. Amer. Math. Soc. 150 (2022), no. 6, 2535–2543.
  3. M. García-Bravo, Extraction of critical points of smooth functions on Banach spaces, J. Math. Anal. Appl. 482 (2020), no. 1, 123535, 21 pp.
  4. R. Deville and M. García-Bravo, Normal tilings of a Banach space and its ball, Mathematika 66 (2020), no. 3, 752-764.
  5. D. Azagra and M. García-Bravo, Some remarks about the Morse-Sard theorem and approximate differentiability, Rev. Mat. Complut. 33 (2020), no. 1 161-185.
  6. D. Azagra, T. Dobrowolski and M. García-Bravo, Smooth approximations without critical points of continuous mappings between Banach spaces, and diffeomorphic extractions of sets, Adv. Math. 354 (2019), 106756, 80 pp.
  7. D. Azagra, J. Ferrera, M. García-Bravo and J. Gómez-Gil, Subdifferentiable functions satisfy Lusin properties of class C^{1} or C^{2} , J. Approx. Theory 230 (2018), 1-12.
Doctoral dissertation

Morse-Sard type theorems in Rn and in Banach spaces, presented at University Autónoma of Madrid in September 2020.

Conferences
Coming
Past
  • Functional Analysis in Lille. A Conference in  honor of Gilles Godefroy. June 2022
  • XX Encuentros de Análisis Real y Complejo en Cartagena. May 2022.
  • AGENT Forum (Young Researchers in Analysis and Geometry). Aalto University, Finland. October 2021.
  • Rajchman, Zygmund, Marcinkiewicz. Conference at IMPAN, Warsaw, Poland. October 2021.
  • Third BYMAT Conference: Bringing Young Mathematicians Together. Universitat de Valencia and Universitat Politécnica de Valencia, Spain. December 2020.
  • V Congreso de Jóvenes Investigadores RSME. Universitat Jaume I, Castellón, Spain.  February 2020.