A Besov algebra calculus for generators of operator semigroups and related norm-estimates
Functional Analysis
2019-10-18 v3
Abstract
We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on Banach spaces. The calculus is a natural (and strict) extension of the classical Hille-Phillips functional calculus, and it is compatible with the other well-known functional calculi. It satisfies the standard properties of functional calculi, provides a unified and direct approach to a number of norm-estimates in the literature, and allows improvements of some of them.
Keywords
Cite
@article{arxiv.1810.11799,
title = {A Besov algebra calculus for generators of operator semigroups and related norm-estimates},
author = {Charles Batty and Alexander Gomilko and Yuri Tomilov},
journal= {arXiv preprint arXiv:1810.11799},
year = {2019}
}
Comments
This is the authors' accepted version of a paper which will be published in Mathematische Annalen