J. Korean Math. Soc. 2003; 40(3): 447-460
Printed May 1, 2003
Copyright © The Korean Mathematical Society.
Moonja Jeong and Masahiko Taniguchi
The University of Suwon and Kyoto University
In this paper we study the non-degenerate $n$-connected canonical domains with $n>1$ related to the conjecture of S. Bell in [4]. They are connected to the algebraic property of the Bergman kernel and the Szeg\H o kernel. We characterize the non-degenerate doubly connected canonical domains.
Keywords: conformal representation, Ahlfors map, Bergman kernel, Szeg\H o kernel, algebraic function, canonical domain
MSC numbers: Primary 32G10, 32G15, 30C40; Secondary 30C20, 30F60
1996; 33(2): 283-290
2006; 43(1): 199-213
2012; 49(1): 69-83
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd