ESSENTIAL NORMS OF PRODUCTS OF WEIGHTED COMPOSITION OPERATORS AND DIFFERENTIATION OPERATORS BETWEEN BANACH SPACES OF ANALYTIC FUNCTIONS

We obtain several estimates of the essential norms of the products of differen- tiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also give estimates of the es- sential norms of weighted composition ope...

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Bibliographic Details
Published in:Acta mathematica scientia 2015-11, Vol.35 (6), p.1401-1410
Main Authors: MANHAS, Jasbir Singh, ZHAO, Ruhan
Format: Article
Language:English
Subjects:
47B33
47B38
Bloch-type spaces
differentiation operators
essential norms
weighted Banach space of analytic functions
weighted composition operators
估计
加权复合算子
巴拿赫空间
微分算子
权重
空间分析功能
算子解析函数
规范化操作
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Summary:We obtain several estimates of the essential norms of the products of differen- tiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also give estimates of the es- sential norms of weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(15)30062-X