Carleson Measures and Toeplitz Operators on Small Bergman Spaces on the Ball

被引：0
作者：
Van An Le
机构：
[1] Aix-Marseille University,CNRS
[2] University of Quynhon,Department of Mathematics and Statistics
来源：
Czechoslovak Mathematical Journal | 2021年 / 71卷
关键词：
Bergman space; Carleson measure; Toeplitz operator; Schatten classes; 30H20; 47B35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study Carleson measures and Toeplitz operators on the class of so-called small weighted Bergman spaces, introduced recently by Seip. A characterization of Carleson measures is obtained which extends Seip’s results from the unit disk of ℂ to the unit ball of ℂn. We use this characterization to give necessary and sufficient conditions for the boundedness and compactness of Toeplitz operators. Finally, we study the Schatten p classes membership of Toeplitz operators for 1 < p < ∞.
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页码：211 / 229
页数：18
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