The role of an integration identity in the analysis of the Cauchy-Leraytransform

作     者：LANZANI Loredana STEIN Elias M. 

作者机构：Department of Mathematics Syracuse University Department of Mathematics Princeton University 

出 版 物：《中国科学：数学》 (Scientia Sinica：Mathematica)

年 卷 期：2017年第47卷第11期

页      面：J0001-J0006页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Science Foundation of USA (Grant Nos. DMS1503612 (Lanzani) and DMS-1265524 (Stein)) 

主　　题：Hardy space Cauchy integral Cauchy-Szego projection Lebesgue space pseudoconvex do-main minimal smoothness Leray-Levi measure 

摘      要：The purpose of this paper is to complement the results by Lanzani and Stein （2017） by showing thedense definability of the Cauchy-Leray transform for the domains that give the counter-examples of Lanzani andStein （2017）, where LP-boundedness is shown to fail when either the ＂near＂ C2 boundary regularity, or the strongC-linear convexity assumption is dropped.