Functional calculus on real interpolation spaces for generators of C0-groups

Journal Article (2015)
Author(s)

M.H.A. Haase (TU Delft - Analysis)

Jan Rozendaal (TU Delft - Analysis)

Research Group
Analysis
DOI related publication
https://doi.org/10.1002/mana.201400317
More Info
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Publication Year
2015
Language
English
Research Group
Analysis
Issue number
2-3
Volume number
289
Pages (from-to)
275-289

Abstract

We study functional calculus properties of C0-groups on real interpolation spaces using transference principles. We obtain interpolation versions of the classical transference principle for bounded groups and of a recent transference principle for unbounded groups. Then we show that each group generator on a Banach space has a bounded math formula-calculus on real interpolation spaces. Additional results are derived from this.

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