PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES

doi:10.1016/S0252-9602(18)30802-6

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (4): 1105-1120.doi: 10.1016/S0252-9602(18)30802-6

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PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES

Jasbir Singh MANHAS¹, Ruhan ZHAO^2,3

1. Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P. O. Box 36, P. C. 123, Al-Khod, Oman;
2. Department of Mathematics, SUNY Brockport, Brockport, NY 14420, USA;
3. Department of Mathematics, Shantou University, Shantou 515063, China

收稿日期:2017-08-06 修回日期:2018-03-09 出版日期:2018-08-25 发布日期:2018-08-25
作者简介:Jasbir Singh MANHAS,E-mail:manhas@squ.edu.om;Ruhan ZHAO,E-mail:rzhao@brockport.edu
基金资助:
The research was supported by SQU Grant No. IG/SCI/DOMS/16/12. The second author was partially supported by NSFC (11720101003), and the Project of International Science and Technology Cooperation Innovation Platform in Universities in Guangdong Province (2014KGJHZ007).

PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES

Jasbir Singh MANHAS¹, Ruhan ZHAO^2,3

1. Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P. O. Box 36, P. C. 123, Al-Khod, Oman;
2. Department of Mathematics, SUNY Brockport, Brockport, NY 14420, USA;
3. Department of Mathematics, Shantou University, Shantou 515063, China

Received:2017-08-06 Revised:2018-03-09 Online:2018-08-25 Published:2018-08-25
Supported by:
The research was supported by SQU Grant No. IG/SCI/DOMS/16/12. The second author was partially supported by NSFC (11720101003), and the Project of International Science and Technology Cooperation Innovation Platform in Universities in Guangdong Province (2014KGJHZ007).

摘要/Abstract

摘要：

We characterize boundedness and compactness of products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions and weighted Zygmund spaces or weighted Bloch spaces with general weights.

关键词: differentiation operators, weighted composition operators, weighted Banach space of analytic functions, Bloch-type spaces

Abstract:

Key words: differentiation operators, weighted composition operators, weighted Banach space of analytic functions, Bloch-type spaces

Jasbir Singh MANHAS, Ruhan ZHAO. PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES[J]. 数学物理学报(英文版), 2018, 38(4): 1105-1120.

Jasbir Singh MANHAS, Ruhan ZHAO. PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES[J]. Acta mathematica scientia,Series B, 2018, 38(4): 1105-1120.

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PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES

PRODUCTS OF WEIGHTED COMPOSITION AND DIFFERENTIATION OPERATORS INTO WEIGHTED ZYGMUND AND BLOCH SPACES

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