Geometric analysis in the Euclidean space

at Departament de Matemàtiques, UAB

Author: Martí Prats

D. Faraco, M.Prats. Characterization for stability in planar conductivities, to appear in Journal of differential equations. pdf

M. Oliva, M.Prats. Sharp bounds for composition with quasiconformal mappings in Sobolev spaces, Journal of Mathematical Analysis and Applications (2017), 451(2), 1026–1044. pdf

M.Prats. Beltrami equations in the plane and Sobolev regularity , Communications on Pure and Applied Analysis (2018), 17(2), 319–332. pdf

M.Prats, E. Saksman. A T(1) theorem for fractional Sobolev spaces on domains , Journal of Geometric Analysis (2017), 27(3), 2490–2538. pdf

M.Prats. Sobolev regularity of quasiconformal mappings on domains , to appear in Journal d’Analyse Mathematique. pdf

M.Prats. Sobolev regularity of the Beurling transform on planar domains , Publicacions Matemàtiques (2017), 61, 291-336. pdf

Martí Prats, A T(1) theorem for Sobolev spaces on domains, Seminari d’Anàlisi UB-UAB, Barcelona, October 2013 (50′ talk) pdf

Martí Prats, A T(1) theorem for Sobolev spaces on domains, II Congreso de Jóvenes Investigadores, Sevilla, September 2013 (25′ talk). pdf

Martí Prats, Rectifiable Sets and the Traveling Salesman Problem, SUMMER SCHOOL T(1) and T(b) theorems and applications, Bonn, July 2013 (2h talk). pdf

Martí Prats, Smoothness of the Beurling transform in Lipschitz domains, Doc-Course Complex Analysis and Related Areas, Málaga, March 2013 (25′ talk). pdf