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Weighted singular integral operators in Clifford analysis

✍ Scribed by Juan Bory Reyes; Ricardo Abreu Blaya

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
120 KB
Volume
25
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider the Cauchy‐type integral and singular integral operator having a weighted Cauchy kernel, both over a domain bounded by an n‐dimensional surface in ℝ^n+1^, n⩾2. The aim of this paper is to study the behaviour of the weighted Cauchy singular integral operators near the integration boundary as well as to establish the basic relation among them. In certain sense, this approach has the advantage of being better related with boundary value problems than what is concerned in the setting of smooth surfaces. Copyright © 2002 John Wiley & Sons, Ltd.

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