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

页码：4767 / 4778

页数：12

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