Extremal problems on conformal moduli and estimates for harmonic measures

被引:0
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作者
A. Yu. Solynin
机构
[1] Russian Academy of Sciences,V. A. Steklov Mathematical Institute
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关键词
Conformal Mapping; Extremal Problem; Connected Domain; Quadratic Differential; Harmonic Measure;
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摘要
We obtain numerous new estimates for the harmonic measures of continua concerning several problems, which have been considered previously by T. Hall, D. Gaier, J. A. Jenkins, W. K. Hayman and J.-M. Wu, and others. We usually give a complete solution of a problem, including a description of the extremal configurations. Our approach is based on some new results in the Jenkins Module theory and in the theory of symmetrization.
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页码:1 / 49
页数:48
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