THE GREEN FUNCTION AND THE SZEGŐ KERNEL FUNCTION

• Journal title : Honam Mathematical Journal
• Volume 36, Issue 3,  2014, pp.659-668
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2014.36.3.659
Title & Authors
THE GREEN FUNCTION AND THE SZEGŐ KERNEL FUNCTION
Chung, Young-Bok;

Abstract
In this paper, we express the Green function in terms of the classical kernel functions in potential theory. In particular, we obtain a formula relating the Green function and the Szegő kernel function which consists of only the Szegő kernel function in a $\small{C^{\infty}}$ smoothly bounded finitely connected domain in the complex plane.
Keywords
Green function;Szego kernel;Ahlfors map;Dirichlet problem;
Language
English
Cited by
References
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