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ON PRINCIPLE OF SUBORDINATION AND MAJORIZATION OF REGULAR UNIVALENTS FUNCTIONS
- Title
- ON PRINCIPLE OF SUBORDINATION AND MAJORIZATION OF REGULAR UNIVALENTS FUNCTIONS
- Authors
- 홍승운
- Issue Date
- 1988
- Department/Major
- 대학원 수학과
- Keywords
- SUBORDINATION; MAJORIZATION; REGULAR UNIVALENTS FUNCTIONS
- Publisher
- 이화여자대학교 대학원
- Degree
- Master
- Abstract
- The purpose of this thesis is to study the principles of subordination and majorization of regular univalent functions and try to unify those concepts of subordination and majorization by the name of quasi-subornidation.
We study the sharpened form of Schwarz lemma in detail and prove that if g is subordinate to f for |z|<1, then
M_(p)(r, g)≤M_(p)(r, f), (0≤r
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