Characterization of Orlicz admissibility

René Hosfeld; Birgit Jacob; Felix L. Schwenninger

doi:10.48550/arXiv.2111.01514

Characterization of Orlicz admissibility

René Hosfeld, Birgit Jacob, Felix L. Schwenninger

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Abstract

In this note we extend two characterizations of admissible operators with respect to $\mathrm{L}^p$ to more general Orlicz spaces. The equivalent conditions are given by the property that an associated operator generates a strongly continuous semigroup and in terms of a resolvent estimate.

Original language	English
Publisher	ArXiv.org
DOIs	https://doi.org/10.48550/arXiv.2111.01514
Publication status	Published - 2 Nov 2021

Keywords

math.FA
34G10, 47D06, 47N70

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10.48550/arXiv.2111.01514

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Characterization of Orlicz admissibility
Hosfeld, R., Jacob, B. & Schwenninger, F., Jun 2023, In: Semigroup forum. 106, 3, p. 633-661 29 p.
Research output: Contribution to journal › Article › Academic › peer-review

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AB - In this note we extend two characterizations of admissible operators with respect to $\mathrm{L}^p$ to more general Orlicz spaces. The equivalent conditions are given by the property that an associated operator generates a strongly continuous semigroup and in terms of a resolvent estimate.

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M3 - Preprint

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Characterization of Orlicz admissibility

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Characterization of Orlicz admissibility

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