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A Note on a Maximum Theorem for Harmonic Functions

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Alternative Title
조화함수의 최대치 정리에 관한 노우트
Abstract
Lowater, Bruckner, Ryan (1) 이 발표한 단위원내에서 조화인 함수의 최대치 정리와 관련된 결과를 복소수함수론의 cluster set을 써서 직접 간결하게 증명했다.
Let u(r,θ) be harmonic in D={ㅣzㅣ<1} and let lim inf u(r,θ) be non-negative for almost all θin 0
This Result is known; the proof, howeverm, given by Lowater, Bruckner, and Ryan (1), uses deep results from the theory of real functions; a firect proof by complex analysis is given.
Let u(r,θ) be harmonic in D={ㅣzㅣ<1} and let lim inf u(r,θ) be non-negative for almost all θin 0
This Result is known; the proof, howeverm, given by Lowater, Bruckner, and Ryan (1), uses deep results from the theory of real functions; a firect proof by complex analysis is given.
Author(s)
Choi,Un Haing
Issued Date
1971
Type
Research Laboratory
URI
https://oak.ulsan.ac.kr/handle/2021.oak/4885
http://ulsan.dcollection.net/jsp/common/DcLoOrgPer.jsp?sItemId=000002025171
Alternative Author(s)
최운행
Publisher
연구논문집
Language
eng
Rights
울산대학교 저작물은 저작권에 의해 보호받습니다.
Citation Volume
2
Citation Number
1
Citation Start Page
3
Citation End Page
4
Appears in Collections:
Research Laboratory > University of Ulsan Report
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