CONTINUOUS EXTENDIBILITY OF THE SZEGO KERNEL
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
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. 한국수학교육학회지시리즈B:순수및응용수학, 4(2), 145-149.
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
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Szego kernel,
transformation formula,
Riemann mapping