A variational method for harmonic mappings onto convex regions
作者:
Peter Duren,
Glenn Schober,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1987)
卷期:
Volume 9,
issue 2-3
页码: 153-168
ISSN:0278-1077
年代: 1987
DOI:10.1080/17476938708814259
出版商: Gordon and Breach Science Publishers
关键词: 30C70
数据来源: Taylor
摘要:
Harmonic mappings arise in several areas of analysis and geometry. Our purpose is to present a general variational method for treating extremal problems over families of univalent harmonic functions which map the unit disk onto a given convex region. In the special case where the target region is again the unit disk, the method leads to sharp estimates for coefficients and other functionals.
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