BMO spaces associated with semigroups of operators

M. Junge, T. Mei

Research output: Contribution to journalArticlepeer-review

Abstract

We study BMO spaces associated with semigroup of operators on noncommutative function spaces (i. e. von Neumann algebras) and apply the results to boundedness of Fourier multipliers on non-abelian discrete groups. We prove an interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative L p spaces for all 1 < p < ∞, with optimal constants in p.

Original languageEnglish (US)
Pages (from-to)691-743
Number of pages53
JournalMathematische Annalen
Volume352
Issue number3
DOIs
StatePublished - Mar 2012

Keywords

  • 46L51 (42B25 46L10 47D06)

ASJC Scopus subject areas

  • Mathematics(all)

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