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

Markus Haase, Jan Rozendaal

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)275-289
Number of pages15
JournalMathematische Nachrichten
Volume289
Issue number2-3
DOIs
Publication statusPublished - 8 Oct 2015

Keywords

  • Functional calculus
  • transference
  • operator group
  • Fourier multiplier
  • interpolation space

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