Functional calculus on real interpolation spaces for generators of $C_{0}$-groups
Functional Analysis
2016-04-22 v2 Operator Algebras
Abstract
We study functional calculus properties of -groups on real interpolation spaces, using transference principles. We obtain interpolation versions of the classical transference principle for bounded groups and of a recent transference principle for unbounded groups. Then we show that each group generator on a Banach space has a bounded -calculus on real interpolation spaces. Additional results are derived from this.
Keywords
Cite
@article{arxiv.1409.6101,
title = {Functional calculus on real interpolation spaces for generators of $C_{0}$-groups},
author = {Markus Haase and Jan Rozendaal},
journal= {arXiv preprint arXiv:1409.6101},
year = {2016}
}
Comments
Final version published in Mathematische Nachrichten, with some minor changes