Boundary behavior of Cauchy-Fantappie type integrals in domains with piecewise smooth boundaries
type: Item
instance of: scholarly article
zbMATH Open document ID: 0985.32002
author: Zhongtai Ma
author: Yongjing Lu
publication date: 2002-05-19T00:00:00Z
Mathematics Subject Classification ID: 32A26
zbMATH DE Number: 1623389
zbMATH Keywords: Bochner-Martinelli kernel
zbMATH Keywords: Plemelj formula
zbMATH Keywords: Hölder continuity
MaRDI profile type: Publication
title: Boundary behavior of Cauchy-Fantappie type integrals in domains with piecewise smooth boundaries
published in: Chinese Quarterly Journal of Mathematics
review text: The main theorem is that on a domain in \(\mathbb{C}^{n}\) with only piecewise smooth boundary, the Bochner-Martinelli transform of a Hölder continuous function extends to the boundary (from either side) as a Hölder continuous function with the same Hölder exponent. The authors state that their work improves on that of \textit{Shujin Chen} [J. Math. Res. Expo. 14, No. 3, 391-398 (1994; Zbl 0886.32002)].
reviewed by: Harold P. Boas
description: scientific article; zbMATH DE number 1623389