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)
Jeong, Moon-Ja.
(1997). CONTINUOUS EXTENDIBILITY OF THE SZEGO KERNEL, 4(2), 145-149.
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
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Szego kernel,
transformation formula,
Riemann mapping