Ergodic properties of multiplication and weighted composition operators on spaces of holomorphic functions

Daniel Santacreu

Mathematische Nachrichten, 2024, vol. 297, issue 7, 2609-2623

Abstract: We obtain different results about the mean ergodicity of weighted composition operators when acting on the spaces H(B)$H(B)$, Hb(B)$H_b(B)$, and H∞(B)$H^\infty (B)$, where B$B$ is the open unit ball of a Banach space, as well as about the compactness and the mean ergodicity of the multiplication operator. This study relates these properties of the operators with properties of the symbol and the weight defining such operators.

Date: 2024
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https://doi.org/10.1002/mana.202300430

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