New characterizations for differences of weighted differentiation composition operators from a Bloch-type space to a weighted-type space

被引：4

作者：

Liang, Yu-Xia ^{[1
]}

机构：

[1] Tianjin Normal Univ, Sch Math Sci, Tianjin 300387, Peoples R China

来源：

PERIODICA MATHEMATICA HUNGARICA | 2018年 / 77卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Differences; Differentiation; Composition operator; Bloch-type space; BERS-TYPE SPACES; ESSENTIAL NORMS; PRODUCTS;

D O I：

10.1007/s10998-018-0239-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We found several new equivalent characterizations of the boundedness of the differences of weighted differentiation composition operators from Bloch-type spaces to weighted-type spaces. Especially, we estimated its essential norm in terms of the n-th power of the induced analytic self-maps on the unit disk, which can provide a new and simple compactness criterion. Moreover, we applied our results to a classical example.

引用

页码：119 / 138

页数：20

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