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Chema Martell

Scientist
Mathematics
Complutense University of Madrid
Spain

Biography

"José María Martell is Científico Titular at the Instituto de CienciasMatemáticas – ICMAT (Institute for mathematical Research). His main research areas are harmonic analysis and partial differential equations. In particular, his research has dealt with the Calderón-Zygmund theory, weighted norm inequalities, Poincaré type inequalities, wavelets, operators associated to the Kato conjecture, elliptic PDE with rough coefficient in rough domains, the interface between harmonic analysis, geometric measure theory and elliptic PDE, etc. His publications include articles in Advances in Mathematics, International Mathematics Research Notices, MathematischeAnnalen, Transactions of the American Mathematical Society, Journal of Functional Analysis, Applied and Computational Harmonic Analysis. He has been cited over 350 times in articles published by journals indexed in the Science Citation Index. He has recently published a book in Birkhäusercoauthored with D. Cruz-Uribe and C. Pérez. J.M. Martell was born in Spain, where he got his Ph.D. in Mathematical Sciences at Universidad Autónoma de Madrid in 2001. He has held full-time academic positions at Universidad Autónoma de Madrid and Postdoctoral Positions at the University of Missouri-Columbia (USA) and the Université Paris Sud-CNRS (France). In 2005, J.M. Martell obtained a Ramon y Cajal Fellowshipranked number 1. He has beena Miller’s Scholar at the University of Missouri-Columbia (USA) and a Roger Richardson Visiting Fellow at the Mathematical Sciences Institute, Australian National University (Australia). He is currently serving as Editor of theTbilisi Mathematical Journal and of Abstract and Applied Analysis."

Research Interest

Harmonic analysis and partial differential equations

Publications

  • Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in \(L^p\), (with S. Hofmann). Ann. Sci. École Norm. Sup. 47 (2014), no. 3, 577-654.

  • Dyadic harmonic analysis beyond doubling measures (with L.D. López-Sánchez and J. Parcet). Adv. Math. 267 (2014), 44-93.

  • Self-improving properties for abstract Poincaré type inequalities, (with F. Bernicot). Trans. Amer. Math. 367, no. 7, (2015), 4793-4835.

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