Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space

被引：4
|
作者：
Peng, Yang [1 ]
Zhao, Xian Feng [2 ]
机构：
[1] Third Mil Med Univ, Army Med Univ, Daping Hosp, Canc Ctr, Chongqing 400038, Peoples R China
[2] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2021年 / 37卷 / 07期
关键词：
Dual Toeplitz operator; harmonic Bergman space; HANKEL;
D O I：
10.1007/s10114-021-0315-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize that the boundedness, compactness and spectral structure of dual Toeplitz operators acting on the orthogonal complement of the harmonic Bergman space. This generalizes the corresponding results for dual Toeplitz operators on the orthogonal complement of the Bergman space due to Stroethoff and Zheng's paper [Trans. Amer. Math. Soc., 354, 2495-2520 (2002)].
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页码：1143 / 1155
页数：13
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