### THE GREEN FUNCTION AND THE SZEGŐ KERNEL FUNCTION

Chung, Young-Bok

• 투고 : 2014.07.31
• 심사 : 2014.08.29
• 발행 : 2014.09.25
• 11 1

#### 초록

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.

#### 키워드

Green function;Szego kernel;Ahlfors map;Dirichlet problem

#### 참고문헌

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4. Steve Bell, The Szego projection and the classical objects of potential theory in the plane, Duke Math. J. 64(1) (1991), 1-26. https://doi.org/10.1215/S0012-7094-91-06401-X
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