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

Loredana Lanzani; Elias M. Stein

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arXiv · 1704.05381

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

Loredana Lanzani·Elias M. Stein

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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 $L^p$-boundedness is shown to fail when either the "near" $C^2$ boundary regularity, or the strong $\mathbb C$-linear convexity assumption is dropped.

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Loredana Lanzani, Elias M. Stein. 2017-04-18. The role of an integration identity in the analysis of the Cauchy-Leray transform. https://arxiv.org/abs/1704.05381

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