Joan Mateu

Associate professor at UAB
Research area: Analysis
Personal webpage

PhD in Mathematics obtained at UAB

Biosketch

I am Profesor Titular of mathematical analysis at Universitat Autònoma de Barcelona from 1995.
I got the Phd in mathematics under the supervision of professor Joan Verdera.
My main topics of interest are harmonic analysis and Euler equation.

Research lines

  • Harmonic analysis
  • Singular integrals
  • Euler equation and vortex patches

Selected publications

  • Hmidi, Taoufik; Mateu, Joan; Verdera, Joan Boundary regularity of rotating vortex patches. Arch. Ration. Mech. Anal. 209 (2013), no. 1, 171–208
  • Chousionis, V.; Mateu, J.; Prat, L.; Tolsa, X. Calderón-Zygmund kernels and rectifiability in the plane. Adv. Math. 231 (2012), no. 1, 535–568.
  • Mateu, Joan; Orobitg, Joan; Verdera, Joan Estimates for the maximal singular integral in terms of the singular integral: the case of even kernels. Ann. of Math. (2) 174 (2011), no. 3, 1429–1483.
  • Astala, K.; Clop, A.; Mateu, J.; Orobitg, J.; Uriarte-Tuero, I. Distortion of Hausdorff measures and improved Painlevé removability for quasiregular mappings. Duke Math. J. 141 (2008), no. 3, 539–571.
  • Mateu, Joan; Tolsa, Xavier; Verdera, Joan The planar Cantor sets of zero analytic capacity and the local T(b)-theorem. J. Amer. Math. Soc. 16 (2003), no. 1, 19–28