Transference of multilinear Fourier and Schur multipliers acting on noncommutative Lp-spaces for non-unimodular groups

Gerrit Vos*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In Caspers et al. (Can. J. Math. 75[6] [2022], 1-18), transference results between multilinear Fourier and Schur multipliers on noncommutative Lp-spaces were shown for unimodular groups. We propose a suitable extension of the definition of multilinear Fourier multipliers for non-unimodular groups and show that the aforementioned transference results also hold in this more general setting.

Original languageEnglish
Number of pages27
JournalGlasgow Mathematical Journal
DOIs
Publication statusPublished - 2024

Keywords

  • Fourier multipliers
  • Locally compact groups
  • noncommutative harmonic analysis
  • noncommutative Lp spaces
  • Schur multipliers

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