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ISSN : 1226-0657

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Vol.2 No.2

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PROPER RATIONAL MAP IN THE PLANE

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1995, v.2 no.2, pp.97-101
Jeong, Moon-Ja (Dept. of Mathematics, the University of Suwon)
Jeong, Moon-Ja. (1995). PROPER RATIONAL MAP IN THE PLANE. 한국수학교육학회지시리즈B:순수및응용수학, 2(2), 97-101.

Abstract

In [6], the author studied the property of the Szeg kernel and had a result that if <TEX>$\Omega$</TEX> is a smoothly bounded domain in C and the Szeg kernel associated with <TEX>$\Omega$</TEX> is rational, then any proper holomorphic map from <TEX>$\Omega$</TEX> to the unit disc U is rational. It leads to the study of the proper rational map of <TEX>$\Omega$</TEX> to U. In this note, first we simplify the proof of the above result and prove an existence theorem of a proper rational map. Before we proceed to state our result, we must recall some preliminary facts.(omitted)

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한국수학교육학회지시리즈B:순수및응용수학

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