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

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

Journal Article (2015)

Author(s)

Markus Haase (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Jan Rozendaal (TU Delft - Electrical Engineering, Mathematics and Computer Science)

Research Group

Analysis

Fourier multiplier Transference Functional calculus Operator group Interpolation space

DOI related publication

https://doi.org/10.1002/mana.201400317 Final published version

To reference this document use

https://resolver.tudelft.nl/uuid:22f1ac27-10b7-42c6-87b7-2faa655e59bf

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

Downloads counter

181

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.