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arXiv · 2311.18757

Analytic Besov functional calculus for several commuting operators

Charles Batty·Alexander Gomilko·Dominik Kobos·Yuri Tomilov
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Abstract

This paper investigates when analytic Besov functions of $n$ variables act on the generators of $n$ commuting $C_0$-semigroups on a Banach space. The theory for $n=1$ has already been published, and the present paper uses a different approach to that case as well as extending to the cases when $n\ge2$. It also clarifies some spectral mapping properties and provides some operator norm estimates.

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Charles Batty, Alexander Gomilko, Dominik Kobos, Yuri Tomilov. 2023-11-30. Analytic Besov functional calculus for several commuting operators. https://arxiv.org/abs/2311.18757

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