LP-integrability & weak type L2-estimates for the gradient of harmonic mappings of D

Tadeusz Iwaniec, Gaven Martin, Carlo Sbordone

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We give an elementary proof for the integrability properties of the gradient of the harmonic extension of a self homeomorphism of the circle giving explicit bounds for the p-norms, p < 2, estimates in Orlicz classes and also an L2(D)-weak type estimate.

Original languageEnglish (US)
Pages (from-to)145-152
Number of pages8
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume11
Issue number1
DOIs
StatePublished - Jan 2009

Keywords

  • Harmonic mapping
  • Mean distortion
  • Weak type estimates

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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