数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1401-1410.doi: 10.1016/S0252-9602(15)30062-X

• 论文 • 上一篇    下一篇

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

Jasbir Singh MANHAS1, Ruhan ZHAO2   

  1. 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, State University of New York Brockport, Brockport, NY 14420, USA
  • 收稿日期:2014-08-06 出版日期:2015-11-01 发布日期:2015-11-01
  • 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/11/01.

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

Jasbir Singh MANHAS1, Ruhan ZHAO2   

  1. 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, State University of New York Brockport, Brockport, NY 14420, USA
  • Received:2014-08-06 Online:2015-11-01 Published:2015-11-01
  • Supported by:

    The research was supported by SQU Grant No. IG/SCI/DOMS/11/01.

摘要:

We obtain several estimates of the essential norms of the products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also give estimates of the essential norms of weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces.

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

Abstract:

We obtain several estimates of the essential norms of the products of differentiation operators and weighted composition operators between weighted Banach spaces of analytic functions with general weights. As applications, we also give estimates of the essential norms of weighted composition operators between weighted Banach space of analytic functions and Bloch-type spaces.

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

中图分类号: 

  • 47B38