Weighted composition semigroups on some Banach spaces
Functional Analysis
2021-08-25 v1 Complex Variables
Abstract
We characterize strong continuity of general operator semigroups on some Lebesgue spaces. In particular, a characterization of strong continuity of weighted composition semigroups on classical Hardy spaces and weighted Bergman spaces with regular weights is given. As applications, our result improves the results of Siskakis, A. G. \cite{AG1} and K\"{o}nig, W. \cite{K} and answers a question of Siskakis, A. G. proposed in \cite{AG4}. We also characterize strongly continuous semigroups of weighted composition operators on weighted Bergman spaces in terms of abelian intertwiners of multiplication operator .
Cite
@article{arxiv.2108.10380,
title = {Weighted composition semigroups on some Banach spaces},
author = {Fanglei Wu},
journal= {arXiv preprint arXiv:2108.10380},
year = {2021}
}