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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

CONTINUOUS EXTENDIBILITY OF THE SZEGO KERNEL

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1997, v.4 no.2, pp.145-149
Jeong, Moon-Ja (Department of Mathematics, University of Suwon)

Abstract

Suppose $\Omega$ is a bounded n-connected domain in C with $C^2$ smooth boundary. Then we prove that the Szego kernel extends continuously to $\Omega\times\Omega$ except the boundary diagonal set.

keywords
Szego kernel, transformation formula, Riemann mapping

한국수학교육학회지시리즈B:순수및응용수학