Complex symmetric weighted composition operators on Dirichlet spaces and Hardy spaces in the unit ball

被引：8

作者：

Hu, Xiaohe ^{[1
]}

Yang, Zicong ^{[1
]}

Zhou, Zehua ^{[1
]}

机构：

[1] Tianjin Univ, Sch Math, Tianjin 300354, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2020年 / 31卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Weighted composition operator; complex symmetric; Hermitian operator; Dirichlet space; Hardy space;

D O I：

10.1142/S0129167X20500068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate when weighted composition operators acting on Dirichlet spaces D(B-N) are complex symmetric with respect to some special conjugations. We then provide some characterizations of Hermitian weighted composition operators on D(B-N). Furthermore, we give a sufficient and necessary condition for J-symmetric weighted composition operators on Hardy spaces H-2(B-N) to be unitary or Hermitian, then some new examples of complex symmetric weighted composition operators on H-2(B-N) are obtained. We also discuss the normality of complex symmetric weighted composition operators on H-2(BN).

引用

页数：21

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