The Cauchy integral in Cn for domains with minimal smoothness

Loredana Lanzani, Elias M. Stein

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We prove Lp(bD)-regularity of the Cauchy-Leray integral for bounded domains D C Cn whose boundary satisfies the minimal regularity condition of class C1,1, together with a naturally occurring notion of convexity.

Original languageEnglish (US)
Pages (from-to)776-830
Number of pages55
JournalAdvances in Mathematics
Volume264
DOIs
StatePublished - Oct 20 2014

Keywords

  • Cauchy integral
  • Linearly convex domains
  • Strongly pseudo-convex domains
  • Szego projection
  • T(1) theorem

ASJC Scopus subject areas

  • Mathematics(all)

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