Weighted estimates for Beltrami equations

Albert Clop, Victor Cruz

Research output: Contribution to journalArticleResearchpeer-review

30 Citations (Scopus)

Abstract

We obtain a priori estimates in Lp(ω) for the generalized Beltrami equation, provided that the coefficients are compactly supported VMO functions with the expected ellipticity condition, and the weight ω lies in the Muckenhoupt class Ap. As an application, we obtain improved regularity for the jacobian of certain quasiconformal mappings.
Original languageEnglish
Pages (from-to)91-113
JournalAnnales Academiae Scientiarum Fennicae Mathematica
Volume38
DOIs
Publication statusPublished - 16 May 2013

Keywords

  • Beltrami equation
  • Muckenhoupt weight.
  • quasiconformal mapping

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