Extremal Distance and Conformal Mappings in Hardy and Bergman Spaces

被引：0
|
作者：
Christina Karafyllia
机构：
[1] University of Thessaly,Department of Mathematics
[2] Stony Brook University,Institute for Mathematical Sciences
来源：
The Journal of Geometric Analysis | 2023年 / 33卷
关键词：
Extremal distance; Reduced extremal distance; Harmonic measure; Hardy spaces; Weighted Bergman spaces; Hardy number; Primary: 30H10; 30H20; 31A15; Secondary: 42B30; 30C85;
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学科分类号：
摘要：
We prove necessary and sufficient integral conditions involving extremal distance for a conformal mapping of the unit disk to belong to the Hardy or weighted Bergman spaces. We also give characterizations for the Hardy number and the Bergman number of a simply connected domain in terms of extremal distance.
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