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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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