Toeplitz operators with BMO and IMO symbols between Fock spaces

被引：2
|
作者：
Wang, Ermin [1 ]
机构：
[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China
来源：
ARCHIV DER MATHEMATIK | 2020年 / 114卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Fock spaces; Toeplitz operators; Boundedness; HANKEL;
D O I：
10.1007/s00013-020-01445-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, given f is an element of BMO, for all possible 0<p<q<infinity, we characterize the boundedness (or compactness) of the Toeplitz operators Tf from the Fock space Fp to Fq. With f is an element of IMO (the space of integrable mean oscillation functions), for all possible 0<q<p<infinity, we characterize those symbols f for which the Toeplitz operators Tf are bounded (or compact) from Fp to Fq.
引用
收藏
页码：541 / 551
页数：11
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