The role of an integration identity in the analysis of the Cauchy-Leray transform |
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| Authors: | Loredana Lanzani Elias M Stein |
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| Institution: | 1.Department of Mathematics,Syracuse University,Syracuse,USA;2.Department of Mathematics,Princeton University,Princeton,USA |
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| 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 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. |
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