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ESSENTIAL COMMUTATIVITY OF SOME INTEGRAL AND COMPOSITION OPERATORS
Published online by Cambridge University Press: 20 October 2011
Abstract
In general, multiplication of operators is not essentially commutative in an algebra generated by integral-type operators and composition operators. In this paper, we characterize the essential commutativity of the integral operators and composition operators from a mixed-norm space to a Bloch-type space, and give a complete description of the universal set of integral operators. Corresponding results for boundedness and compactness are also obtained.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 85 , Issue 1 , February 2012 , pp. 143 - 153
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2011
Footnotes
The first author was supported in part by the National Natural Science Foundation of China (Grant Nos. 10971153, 10671141).
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