TOEPLITZ OPERATORS BETWEEN FOCK SPACES

被引：5

作者：

Lu, Jin ^{[1
]}

Lv, Xiaofen ^{[1
]}

机构：

[1] Huzhou Univ, Dept Math, Huzhou 313000, Zhejiang, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2015年 / 92卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Toeplitz operator; Fock space; t-Berezin transforms;

D O I：

10.1017/S0004972715000477

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a positive Borel measure mu on the n-dimensional Euclidean space C-n, we characterise the boundedness (and compactness) of Toeplitz operators T-mu between Fock spaces F-infinity (phi) and F-p(phi) with 0 < p <= infinity in terms of t-Berezin transforms and averaging functions of mu. Our result extends recent work of Mengestie ['On Toeplitz operators between Fock spaces', Integral Equations Operator Theory 78 (2014), 213-224] and others.

引用

页码：316 / 324

页数：9

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