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DIFFERENCES OF COMPOSITION OPERATORS BETWEEN WEIGHTED BERGMAN SPACES AND WEIGHTED BANACH SPACES OF HOLOMORPHIC FUNCTIONS

Published online by Cambridge University Press:  29 March 2010

ELKE WOLF
ELKE WOLF*
Affiliation:
Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany e-mail: lichte@math.uni-paderborn.de
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Abstract

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We characterise boundedness and compactness of differences of composition operators acting between weighted Bergman spaces Av, p and weighted Banach spaces H∞w of holomorphic functions defined on the open unit disk D.

Keywords

MSC 2000: 47B3347B38
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 52 , Issue 2 , May 2010 , pp. 325 - 332
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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