Fourier multipliers on graded lie groups

Véronique Fischer, Michael Ruzhansky

Research output: Contribution to journalArticlepeer-review

5 Citations (SciVal)
21 Downloads (Pure)


We study multipliers on graded nilpotent Lie groups defined via group Fourier transform. More precisely, we show that Hörmander-type conditions on the Fourier multipliers imply Lp-boundedness. We express these conditions using difference operators and positive Rockland operators. We also obtain a more refined condition using Sobolev spaces on the dual of the group which are defined and studied in this paper.

Original languageEnglish
Pages (from-to)1-30
Number of pages30
JournalColloquium Mathematicum
Issue number1
Early online date29 Oct 2020
Publication statusPublished - 31 Dec 2020


  • Analysis on Lie groups
  • Fourier multipliers
  • Graded nilpotent Lie groups

ASJC Scopus subject areas

  • Mathematics(all)


Dive into the research topics of 'Fourier multipliers on graded lie groups'. Together they form a unique fingerprint.

Cite this