THE SZEGO KERNEL AND A SPECIAL SELF-CORRESPONDENCE
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1998, v.5 no.2, pp.101-108
Jeong, Moon-Ja
(Department of Mathematics, University of Suwon)
Jeong, Moon-Ja.
(1998). THE SZEGO KERNEL AND A SPECIAL SELF-CORRESPONDENCE. 한국수학교육학회지시리즈B:순수및응용수학, 5(2), 101-108.
Abstract
For a smoothly bounded n-connected domain <TEX>$\Omega$</TEX> in C, we get a formula representing the relation between the Szego" kernel associated with <TEX>$\Omega$</TEX> and holomorphic mappings obtained from harmonic measure functions. By using it, we show that the coefficient of the above holomorphic map is zero in doubly connected domains.
- keywords
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Szego kernel,
harmonic measure,
proper map,
self-correspondence