The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space

被引：0
|
作者：
Cezhong Tong
Junfeng Li
Hicham Arroussi
机构：
[1] Hebei University of Technology,Department of Mathematics
[2] University of Reading,Department of Mathematics
来源：
Potential Analysis | 2022年 / 57卷
关键词：
Békollé weights; Carleson measures; Toeplitz operators; Primary: 42B35; Secondary: 32A36;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we obtain some interesting reproducing kernel estimates and some Carleson properties that play an important role. We characterize the bounded and compact Toeplitz operators on the weighted Bergman spaces with Békollé-Bonami weights in terms of Berezin transforms. Moreover, we estimate the essential norm of them assuming that they are bounded.
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页码：263 / 281
页数：18
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