A Class of Hausdorff–Berezin Operators on the Unit Disc

被引：0
作者：
Alexey Karapetyants
Stefan Samko
Kehe Zhu
机构：
[1] SUNY,Department of Mathematics and Statistics
[2] Southern Federal University,Department of Mathematics and Regional Mathematical Center
[3] University of Algarve,Department of Mathematics
[4] Shantou University,undefined
来源：
Complex Analysis and Operator Theory | 2019年 / 13卷
关键词：
Hausdorff operators; Berezin transform; Bergman kernel; Invariant kernel; Haar measure; Möbius group; 47G10; 47B38; 46E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We introduce and study a class of Hausdorff–Berezin operators on the unit disc based on Haar measure (that is, the Möbius invariant area measure). We discuss certain algebraic properties of these operators and obtain boundedness conditions for them. We also reformulate the obtained results in terms of ordinary area measure.
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页码：3853 / 3870
页数：17
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