Analytic Besov functional calculus for several commuting operators

<p>This paper investigates analytic Besov functions of <em>n</em> variables which act on the generators of <em>n</em> commuting C<sub>0</sub>-semigroups on a Banach space. The theory for&nbsp;<em>n</em> = 1 has already been published, and the...

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Dettagli Bibliografici
Autori principali: Batty, C, Gomilko, A, Kobos, D, Tomilov, Y
Natura: Journal article
Lingua:English
Pubblicazione: European Mathematical Society 2024
Descrizione
Riassunto:<p>This paper investigates analytic Besov functions of <em>n</em> variables which act on the generators of <em>n</em> commuting C<sub>0</sub>-semigroups on a Banach space. The theory for&nbsp;<em>n</em> = 1 has already been published, and the present paper uses a different approach to that case as well as extending to the cases when&nbsp;<em>n</em> &ge; 2. It also clarifies some spectral mapping properties and provides some operator norm estimates.</p>