Characterization of Orlicz admissibility

René Hosfeld; Birgit Jacob; Felix Schwenninger

doi:10.1007/s00233-023-10352-3

Characterization of Orlicz admissibility

René Hosfeld^*
, Birgit Jacob
, Felix Schwenninger

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

103 Downloads (Pure)

Abstract

We extend two characterizations of admissible operators with respect to 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
Pages (from-to)	633-661
Number of pages	29
Journal	Semigroup forum
Volume	106
Issue number	3
DOIs	https://doi.org/10.1007/s00233-023-10352-3
Publication status	Published - Jun 2023

Keywords

Admissible observation operators
C-semigroups
Orlicz spaces
Weiss conjecture

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s00233-023-10352-3Final published version, 412 KBLicence: CC BY

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title = "Characterization of Orlicz admissibility",

abstract = "We extend two characterizations of admissible operators with respect to 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.",

keywords = "Admissible observation operators, C-semigroups, Orlicz spaces, Weiss conjecture",

author = "Ren{\'e} Hosfeld and Birgit Jacob and Felix Schwenninger",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s).",

year = "2023",

month = jun,

doi = "10.1007/s00233-023-10352-3",

language = "English",

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T1 - Characterization of Orlicz admissibility

AU - Hosfeld, René

AU - Jacob, Birgit

AU - Schwenninger, Felix

PY - 2023/6

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N2 - We extend two characterizations of admissible operators with respect to 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.

AB - We extend two characterizations of admissible operators with respect to 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.

KW - Admissible observation operators

KW - C-semigroups

KW - Orlicz spaces

KW - Weiss conjecture

UR - https://www.scopus.com/pages/publications/85160275202

U2 - 10.1007/s00233-023-10352-3

DO - 10.1007/s00233-023-10352-3

M3 - Article

AN - SCOPUS:85160275202

SN - 0037-1912

VL - 106

SP - 633

EP - 661

JO - Semigroup forum

JF - Semigroup forum

IS - 3

ER -

Characterization of Orlicz admissibility

Abstract

Keywords

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