Weighted singular integral operators in Clifford analysis

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 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.

Año de publicación:

2002

Keywords:

• Clifford analysis
• Cauchy-type integral
• Hausdorff measure

Fuente:

scopus