Criteria for Analyticity of Multidimensionally Subordinated Semigroups

Criteria for Analyticity of Multidimensionally Subordinated Semigroups

Let ψ be a Bernstein function in one variable. A . Carasso and T . Kato obtained necessary and sufficient conditions for ψ to have a property that ψ( A ) generates a quasibounded holomorphic semigroup for every generator A of a bounded C 0 -semigroup in a Banach space and deduced necessary condition...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2024, Vol.286 (4), p.592-608
1. Verfasser: Mirotin, Adolf
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Mathematics
Mathematics and Statistics
Semigroups
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Zusammenfassung:Let ψ be a Bernstein function in one variable. A . Carasso and T . Kato obtained necessary and sufficient conditions for ψ to have a property that ψ( A ) generates a quasibounded holomorphic semigroup for every generator A of a bounded C 0 -semigroup in a Banach space and deduced necessary conditions as well. We generalize their results to the multidimensional case and also give sufficient conditions for the property mentioned above.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-024-07528-9