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

Loredana Lanzani, Elias M. Stein

Research output: Contribution to journalArticle

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” C2 boundary regularity, or the strong ℂ-linear convexity assumption is dropped.

Original languageEnglish (US)
Pages (from-to)1-14
Number of pages14
JournalScience China Mathematics
DOIs
StateAccepted/In press - Aug 5 2017

Fingerprint

Boundary Regularity
Definability
Cauchy
Counterexample
Convexity
Boundedness
Complement
Transform

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

The role of an integration identity in the analysis of the Cauchy-Leray transform. / Lanzani, Loredana; Stein, Elias M.

In: Science China Mathematics, 05.08.2017, p. 1-14.

Research output: Contribution to journalArticle

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