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COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON BERGMAN SPACES IN THE BALL

Published online by Cambridge University Press:  14 March 2011

XIANG DONG YANG*
Affiliation:
Department of Mathematics, Kunming University of Science and Technology, 650093 Kunming, Yunnan Province, PR China (email: yangsddp@126.com)
LE HAI KHOI
Affiliation:
Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University (NTU), 637371 Singapore (email: lhkhoi@ntu.edu.sg)
*
For correspondence; e-mail: lhkhoi@ntu.edu.sg
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Abstract

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We obtain necessary and sufficient conditions for the compactness of differences of composition operators acting on the weighted Bergman spaces in the unit ball. A representation of a composition operator as a finite sum of composition operators modulo compact operators is also studied.

MSC classification

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

The first author is supported by the Natural Science Foundation of Yunnan Province in China (Grant No. 2009ZC013X) and the Basic Research Foundation of the Education Bureau of Yunnan Province in China (Grant No. 09Y0079).

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