Invertible weighted composition operators preserve frames on Dirichlet type spaces

被引：1

作者：

Qian, Ruishen ^{[1
]}

Zhu, Xiangling ^{[2
]}

机构：

[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang 524048, Guangdong, Peoples R China

[2] Univ Elect Sci & Technol China, Zhongshan Inst, Zhongshan 528402, Guangdong, Peoples R China

来源：

AIMS MATHEMATICS | 2020年 / 5卷 / 05期

关键词：

Dirichlet type space; weighted composition operator; frame; bounded below; multiplier; CARLESON MEASURES; MULTIPLIERS; HARDY;

D O I：

10.3934/math.2020273

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some characterizations for weighted composition operators to be invertible on Dirichlet type spaces D-rho are given in this paper when rho is finite lower type greater than 0 and upper type less than 1. In particular, the equivalence between invertible and preserve frames is established. Moreover, weighted composition operators that preserve tight frames and normalized tight frames on the Dirichlet type space D-alpha (0 < alpha < 1) are also investigated.

引用

页码：4285 / 4296

页数：12

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