Articles

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

  • Jasbir Singh MANHAS ,
  • Ruhan ZHAO
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  • 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 date: 2017-08-06

  Revised date: 2018-03-09

  Online 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).

Abstract

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(18)30802-6

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