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THE PRINCIPLE OF SUBORDINATION AND QUASI-SUBORDINATE FUNCTIONS

Title
THE PRINCIPLE OF SUBORDINATION AND QUASI-SUBORDINATE FUNCTIONS
Authors
전녹희
Issue Date
2001
Department/Major
대학원 수학과
Keywords
PRINCIPLESUBORDINATIONQUASI-SUBORDINATEFUNCTIONS
Publisher
이화여자대학교 대학원
Degree
Master
Abstract
We study the principle of subordination through the basic three illustrations and solve two problems relative to it which appeared in exercise of the book (p. 238) "Conformal Mapping" written by Zeeb Nehari. We introduce the concept of Quasi-subordinate functions and study their basic properties in order to unify the meaning of subordination and majorization. Moreover, we show some results on the radius of convexity problem by using the principle of subordination.;이 논문에서는 종속원리를 연구하면서 그 응용으로 세가지 간단한 경우를 예시하고, 아울러 Nehari의 "Conformal Mapping"에 있는 연습 문제 두 개를 종속원리를 이용하여 풀어 놓았다. 또한 subordination과 majorization을 혼합한 개념으로 준 종속함수를 소개하고, 그의 기본적인 성질들을 연구하였다. 끝으로 종속원리의 응용으로서 몇가지 radius of convexity 문제를 연구하였다.
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