Abstract

In this paper, we define and study Gevrey spaces associated with a Hörmander family of (globally defined) vector fields and its corresponding sub-Laplacian. We show some natural relations between the various Gevrey spaces in this setting on general manifolds, and more particular properties on Lie groups with polynomial growth of the volume. In the case of the Heisenberg group and of (Formula presented.), we show that all our descriptions coincide.

Original languageEnglish
JournalMathematische Nachrichten
DOIs
Publication statusAcceptance date - 2020

Keywords

  • analysis on Lie groups
  • Gevrey spaces
  • higher Riesz transform for sub-Laplacians

ASJC Scopus subject areas

  • Mathematics(all)

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