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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Asıl Yazarlar: Batty, C, Gomilko, A, Kobos, D, Tomilov, Y
Materyal Türü: Journal article
Dil:English
Baskı/Yayın Bilgisi: European Mathematical Society 2024
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author Batty, C
Gomilko, A
Kobos, D
Tomilov, Y
author_facet Batty, C
Gomilko, A
Kobos, D
Tomilov, Y
author_sort Batty, C
collection OXFORD
description <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>
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spelling oxford-uuid:577a5c61-70a3-48d5-93e8-ab2927e331e62024-07-08T09:30:21ZAnalytic Besov functional calculus for several commuting operatorsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:577a5c61-70a3-48d5-93e8-ab2927e331e6EnglishSymplectic ElementsEuropean Mathematical Society2024Batty, CGomilko, AKobos, DTomilov, Y<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>
spellingShingle Batty, C
Gomilko, A
Kobos, D
Tomilov, Y
Analytic Besov functional calculus for several commuting operators
title Analytic Besov functional calculus for several commuting operators
title_full Analytic Besov functional calculus for several commuting operators
title_fullStr Analytic Besov functional calculus for several commuting operators
title_full_unstemmed Analytic Besov functional calculus for several commuting operators
title_short Analytic Besov functional calculus for several commuting operators
title_sort analytic besov functional calculus for several commuting operators
work_keys_str_mv AT battyc analyticbesovfunctionalcalculusforseveralcommutingoperators
AT gomilkoa analyticbesovfunctionalcalculusforseveralcommutingoperators
AT kobosd analyticbesovfunctionalcalculusforseveralcommutingoperators
AT tomilovy analyticbesovfunctionalcalculusforseveralcommutingoperators