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 counterexamples of Lanzani and Stein (2017), where Lp-boundedness is shown to fail when either the “near” C2boundary regularity, or the strong ℂ-linear convexity assumption is dropped.
Lanzani, L., Stein, E.M. (2017). The role of an integration identity in the analysis of the Cauchy-Leray transform. SCIENCE CHINA. MATHEMATICS, 60(11), 1923-1936 [10.1007/s11425-017-9115-5].
The role of an integration identity in the analysis of the Cauchy-Leray transform
Lanzani L.
;
2017
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 counterexamples of Lanzani and Stein (2017), where Lp-boundedness is shown to fail when either the “near” C2boundary regularity, or the strong ℂ-linear convexity assumption is dropped.File in questo prodotto:
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