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.
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页码：119 / 138
页数：20
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