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

Haase, M.H.A.; Rozendaal, J.

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

Journal article (2015)

Authors

M.H.A. Haase Analysis -

J. Rozendaal Analysis -

Research Group

Analysis () (TU Delft)

Fourier multiplier Transference Functional calculus Operator group Interpolation space

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

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Published Date

08-10-2015

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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.