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Differences of Composition Operators between Weighted Banach Spaces of Holomorphic Functions on the Unit Polydisk

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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.

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  1. Mathematical Institute, University of Paderborn, D-33095, Paderborn, Germany

    Elke Wolf

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  1. Elke Wolf
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Correspondence to Elke Wolf.

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Received: May 15, 2007. Revised: October 8, 2007.

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Wolf, E. Differences of Composition Operators between Weighted Banach Spaces of Holomorphic Functions on the Unit Polydisk. Result. Math. 51, 361–372 (2008). https://doi.org/10.1007/s00025-007-0283-z

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  • DOI: https://doi.org/10.1007/s00025-007-0283-z

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