Intermediate and extrapolated spaces for bi-continuous semigroups
Functional Analysis
2021-01-01 v1
Abstract
We discuss the construction of the full Sobolev (H\"older) scale for non-densely defined operators on a Banach space with rays of minimal growth. In particular, we give a construction for extrapolation- and Favard spaces of generators of (bi-continuous) semigroups, or which is essentially the same, Hille-Yosida operators on Saks spaces.
Keywords
Cite
@article{arxiv.1711.05528,
title = {Intermediate and extrapolated spaces for bi-continuous semigroups},
author = {Christian Budde and Bálint Farkas},
journal= {arXiv preprint arXiv:1711.05528},
year = {2021}
}