PROPER RATIONAL MAP IN THE PLANE

Jeong, Moon-Ja; Jeong, Moon-Ja

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P-ISSN3059-0604
E-ISSN3059-1309
KCI

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Vol.2 No.2

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Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

1995, v.2 no.2, pp.97-101

Jeong, Moon-Ja

Jeong,, M. (1995). , 2(2), 97-101.

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Abstract

In [6], the author studied the property of the Szeg kernel and had a result that if $\Omega$ is a smoothly bounded domain in C and the Szeg kernel associated with $\Omega$ is rational, then any proper holomorphic map from $\Omega$ to the unit disc U is rational. It leads to the study of the proper rational map of $\Omega$ 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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Article Contents

Vol.2 No.2

Abstract

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics