RT Journal Article
T1 Generators of C0-Semigroups of weighted composition operators
A1 Gallardo Gutiérrez, Eva A.
A1 Siskakis, Aristomenis G.
A1 Yakubovich, Dmitry
AB 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.
YR 2021
FD 2021-10-12
LK https://hdl.handle.net/20.500.14352/4960
UL https://hdl.handle.net/20.500.14352/4960
LA eng
NO Ministerio de Ciencia e Innovación (MICINN)
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 15 may 2024