The Berezin Transform and Its Applications

被引：0
作者：
Kehe Zhu
机构：
[1] State University of New York,Department of Mathematics and Statistics
来源：
Acta Mathematica Scientia | 2021年 / 41卷
关键词：
reproducing kernel; reproducing kernel Hilbert space; Hardy space; Bergman space; Fock space; Berezin transform; Toeplitz operator; Hankel operator; composition operator; 30H10; 30H20; 32A35; 32A36; 46E22; 47B32; 47B33; 47B35; 47G10;
D O I：
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中图分类号：
学科分类号：
摘要：
We give a survey on the Berezin transform and its applications in operator theory. The focus is on the Bergman space of the unit disk and the Fock space of the complex plane. The Berezin transform is most effective and most successful in the study of Hankel and Toepltiz operators.
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页码：1839 / 1858
页数：19
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