2026-06-27T15:37:02Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/49602024-07-12T14:22:51Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Gallardo Gutiérrez, Eva Antonia
author
Siskakis, Aristomenis G.
author
Yakubovich, Dmitry
2023-06-16T14:24:34Z
2023-06-16T14:24:34Z
2021-10-12
https://hdl.handle.net/20.500.14352/4960
We prove that in a large class of Banach spaces of analytic functions inthe unit disc D an (unbounded) operator Af = G · f′ + g · f with G, g analytic in D generates a C0-semigroup of weighted composition operators if and only if it generates a C0-semigroup. Particular instances of such spaces are the classical Hardy spaces. Our result generalizes previous results in this context and it is related to cocycles of flows of analytic functions on Banach spaces. Likewise, for a large class of non-separable Banach spaces X of analytic functions in D contained in the Bloch space, we prove that no non-trivial holomorphic flow induces a C0-semigroup of weighted composition operators on X. This generalizes previous results in [6] and [1] regarding C0-semigroup of (unweighted) composition operators.
eng
Atribución 3.0 España
Generators of C0-Semigroups of weighted composition operators
journal article
URL
https://docta.ucm.es/bitstreams/22d92c4d-7c59-4279-9946-fa18a7ab78de/download
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3665d13f9f8e0a81ecd7933c3d907abd
178387
application/pdf
gallardo_generators.pdf