J4 ›› 2012, Vol. 47 ›› Issue (4): 77-79.

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Essential commutativity of composition operator and integral operator

ZHANG Liang, ZENG Hong-gang*   

  1. Institute of Sciences,Tianjin University, Tianjin 300072, China
  • Received:2011-05-01 Online:2012-04-20 Published:2012-06-28

Abstract:

Essential commutativity of the operators is the important component part in operator fields. Generally, multiplication between operators is not essential commutative for the integral operators and composition operators between different spaces. Sufficient and necessary conditions of essential commutativity of integral operators and composition operators from F(p, q, s) space to weighted Bloch space are given.

Key words: essential commutativity; F(p, q, s) space; weighted Bloch space

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