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 （...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.展开更多
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(201...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 L^p-boundedness is shown to fail when either the "near" C^2 boundary regularity, or the strong C-linear convexity assumption is dropped.展开更多
基金supported by the National Science Foundation of USA (Grant Nos. DMS1503612 (Lanzani) and DMS-1265524 (Stein))
文摘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.
基金supported by the National Science Foundation of USA (Grant Nos. DMS1503612 (Lanzani) and DMS-1265524 (Stein))
文摘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 L^p-boundedness is shown to fail when either the "near" C^2 boundary regularity, or the strong C-linear convexity assumption is dropped.
