Marti Prats
Postdoctoral Researcher
Mathematics
Complutense University of Madrid
Spain
Biography
"Martí Prats is a posdoctoral researcher for ERC project Geometric Function Theory, Inverse Problems and Fluid Dynamics at ICMAT since 2015. His main research interests are in harmonic analysis, quasiconformal mappings and inverse problems, with especial interest on those aspects with geometrical flavour. The results of his thesis deal with Calderón-Zygmund operators acting on Sobolev spaces restricted to Lipschitz and uniform domains, how their behavior depend on the regularity of the boundary of the domains under consideration, and the application of those results to quasiconformal mappings on the plane as well."
Research Interest
Harmonic analysis, quasiconformal mappings and inverse problems, with especial interest on those aspects with geometrical flavour.
Publications
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Prats M, Saksman E. AT (1) theorem for fractional Sobolev spaces on domains. The Journal of Geometric Analysis. 2017 Jul 1;27(3):2490-538.
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Prats M. Sobolev regularity of quasiconformal mappings on domains. arXiv preprint arXiv:1507.04332. 2015 Jul 15.
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Prats M, Tolsa X. AT (P) theorem for Sobolev spaces on domains. Journal of Functional Analysis. 2015 May 15;268(10):2946-89.
