Differences of Composition Operators between Weighted Banach Spaces of Holomorphic Functions on the Unit Polydisk |
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Authors: | Elke Wolf |
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Institution: | (1) Mathematical Institute, University of Paderborn, D-33095 Paderborn, Germany |
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Abstract: | We consider differences of composition operators between given weighted Banach spaces H
∞
v
or H
0
v
of analytic functions defined on the unit polydisk D
N
with weighted sup-norms and give estimates for the distance of these differences to the space of compact operators. We also
study boundedness and compactness of the operators. This paper is an extension of 6] where the one-dimensional case is treated.
Received: May 15, 2007. Revised: October 8, 2007. |
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Keywords: | 47B33 47B38 |
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