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http://dx.doi.org/10.5831/HMJ.2014.36.3.659

THE GREEN FUNCTION AND THE SZEGŐ KERNEL FUNCTION

Chung, Young-Bok (Department of Mathematics, Chonnam National University)

Publication Information

Honam Mathematical Journal / v.36, no.3, 2014 , pp. 659-668 More about this Journal

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 $C^{\infty}$ smoothly bounded finitely connected domain in the complex plane.

Keywords

Green function; Szego kernel; Ahlfors map; Dirichlet problem;

Citations & Related Records

Reference

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