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

ISSN : 3059-0604

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Vol.5 No.2

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THE SZEGO KERNEL AND A SPECIAL SELF-CORRESPONDENCE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 5(2), 101-108.

Abstract

For a smoothly bounded n-connected domain $\Omega$ in C, we get a formula representing the relation between the Szego" kernel associated with $\Omega$ 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
Szego kernel, harmonic measure, proper map, self-correspondence

한국수학교육학회지시리즈B:순수및응용수학

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