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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / 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

Abstract

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

keywords
Szego kernel, transformation formula, Riemann mapping

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics