Weighted Composition Operators Between Weighted Bloch Type Spaces and Weighted Banach Spaces of Holomorphic Functions |
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| Authors: | Elke Wolf |
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| Institution: | 1. Mathematical Institute , University of Paderborn , Paderborn, Germany lichte@math.uni-paderborn.de |
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| Abstract: | Let φ: 𝔻 → 𝔻 and ψ: 𝔻 → ? be analytic maps. They induce a weighted composition operator ψ C φ acting between weighted Bloch type spaces and weighted Banach spaces of holomorphic functions. Under some assumptions on the weights, we give a necessary as well as a sufficient condition when such an operator is bounded resp. compact. |
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| Keywords: | Weighted Banach spaces of holomorphic functions Weighted Bloch type spaces Weighted composition operators |
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