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 language | English |
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Pages (from-to) | 265-285 |
Number of pages | 21 |
Journal | Mathematische Nachrichten |
Volume | 294 |
Issue number | 2 |
Early online date | 2 Dec 2020 |
DOIs | |
Publication status | Published - 11 Feb 2021 |
Funding
The first two named authors were supported by EPSRC Grant EP/K039407/1.
Keywords
- analysis on Lie groups
- Gevrey spaces
- higher Riesz transform for sub-Laplacians
ASJC Scopus subject areas
- General Mathematics