Dynamics of Weighted Composition Operators |
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Authors: | Juan Bès |
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Institution: | 1. Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH, 43403, USA
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Abstract: | We study the dynamic behaviour of weighted composition operators on the space of holomorphic functions on a simply connected plane domain and endowed with the compact open topology. Any such operator is weakly supercyclic if and only if it is topologically mixing and, when the weight is bounded, if and only if the operator has a hypercyclic subspace. We also provide conditions on the symbols that ensure the operator to be Devaney-chaotic and to have a frequently hypercyclic subspace. |
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