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Characterization of Orlicz admissibility

Functional Analysis 2022-08-01 v2

Abstract

In this note we extend two characterizations of admissible operators with respect to Lp\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.

Keywords

Cite

@article{arxiv.2111.01514,
  title  = {Characterization of Orlicz admissibility},
  author = {René Hosfeld and Birgit Jacob and Felix L. Schwenninger},
  journal= {arXiv preprint arXiv:2111.01514},
  year   = {2022}
}

Comments

22 pages