Weighted singular integral operators in Clifford analysis

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 ℝn+1, n⩾2. The aim of this paper is to study the behaviour of the weighted Cauchy singular integral operators near the integration boundary a...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2002-11, Vol.25 (16-18), p.1429-1440
Main Authors: Reyes, Juan Bory, Abreu Blaya, Ricardo
Format: Article
Language:English
Subjects:
Cauchy-type integral
Clifford analysis
Exact sciences and technology
Functions of a complex variable
Hausdorff measure
Integral equations
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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Summary: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 ℝn+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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.380