Subelliptic Gevrey spaces

Véronique Fischer, Michael Ruzhansky, Chiara Alba Taranto

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1 Citation (SciVal)

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
Pages (from-to)265-285
Number of pages21
JournalMathematische Nachrichten
Volume294
Issue number2
Early online date2 Dec 2020
DOIs
Publication statusPublished - 11 Feb 2021

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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