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.
The role of an integration identity in the analysis of the Cauchy-Leray transform / Lanzani L.; Stein E.M.. - In: SCIENCE CHINA. MATHEMATICS. - ISSN 1674-7283. - ELETTRONICO. - 60:11(2017), pp. 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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