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

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2017,（11）
• 页码范围: 1923-1936
• 页数: 14页
• 语种: 英文
• DOI: 10.1007/s11425-017-9115-5

摘要

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 counter-examples 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.