The role of an integration identity in the analysis of the Cauchy-Leray transform

Loredana Lanzani, Elias M. Stein

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

The purpose of this paper is to complement the results by Lanzani and Stein (2017) by showing the dense definability of the Cauchy-Leray transform for the domains that give the counterexamples of Lanzani and Stein (2017), where Lp-boundedness is shown to fail when either the “near” C2boundary regularity, or the strong ℂ-linear convexity assumption is dropped.

Original languageEnglish (US)
Pages (from-to)1923-1936
Number of pages14
JournalScience China Mathematics
Volume60
Issue number11
DOIs
StatePublished - Nov 1 2017

Keywords

  • Cauchy integral
  • Cauchy-Szegö projection
  • Hardy space
  • Lebesgue space
  • Leray-Levi measure
  • minimal smoothness
  • pseudoconvex domain

ASJC Scopus subject areas

  • Mathematics(all)

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