The Hausdorff-Young inequality on Lie groups

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Colleges, School and Institutes

External organisations

  • University of New South Wales
  • Instituto de Ciencias Matemáticas
  • Univ Kiel


We prove several results about the best constants in the Hausdorff–Young inequality for noncommutative groups. In particular, we establish a sharp local central version for compact Lie groups, and extend known results for the Heisenberg group. In addition, we prove a universal lower bound to the best constant for general Lie groups.


Original languageEnglish
Pages (from-to)93-131
Number of pages39
JournalMathematische Annalen
Issue number1-2
Early online date9 Jan 2019
Publication statusPublished - 1 Oct 2019

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