Essential commutativity of the integral and composition operators

Authors

  • Ze-Hua Zhou
  • Liang Zhang

Keywords:

Essential commutativity, integral-type operators, composition operators

Abstract

Generally, multiplication between operators is not essential commutative in the algebra generated by the integral-type operators and composition operators. In this paper, we characterize the essential commutativity of the integral operators and composition operators from the mixed-norm space to the Bloch-type space, and give a complete description of the universal set of integral-operators. Corresponding results for the boundedness and compactness have also been obtained. DOI: 10.1017/S0004972711002723

Published

2011-10-17

Issue

Vol. 85 No. 1 (2012)

Section

Articles
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