Bounded and Compact Hankel Operators on the Fock-Sobolev Spaces

被引：0
|
作者：
Gupta, Anuradha [1 ]
Gupta, Bhawna [2 ]
机构：
[1] Univ Delhi, Delhi Coll Arts & Commerce, Dept Math, Delhi, India
[2] Univ Delhi, Dept Math, Delhi, India
来源：
FILOMAT | 2022年 / 36卷 / 14期
关键词：
Fock-Sobolev spaces; Hankel operators; Berezin transform; BMOpr spaces; VMOpr spaces; TOEPLITZ-OPERATORS;
D O I：
10.2298/FIL2214767G
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper focuses on the operator-theoretic properties (boundedness and compactness) of Hankel operators on the Fock-Sobolev spaces . p,m in terms of symbols in BMOpr and VMOpr spaces, respectively, for a non-negative integers m, 1 <= p < infinity and r > 0. Along the way, we also study Berezin transform of Hankel operators on . p,m.
引用
收藏
页码：4767 / 4778
页数：12
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