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The role of an integration identity in the analysis of the Cauchy-Leray transform (1704.05381v1)
Published 18 Apr 2017 in math.CV
Abstract: The purpose of this paper is to complement the results in [LS-1] by showing the dense definability of the Cauchy-Leray transform for the domains that give the counterexamples of [LS-1], where $Lp$-boundedness is shown to fail when either the "near" $C2$ boundary regularity, or the strong $\mathbb C$-linear convexity assumption is dropped.