Subelliptic Gevrey spaces

Véronique Fischer; Michael Ruzhansky; Chiara Alba Taranto

doi:10.1002/mana.202000295

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 language	English
Pages (from-to)	265-285
Number of pages	21
Journal	Mathematische Nachrichten
Volume	294
Issue number	2
Early online date	2 Dec 2020
DOIs	https://doi.org/10.1002/mana.202000295
Publication status	Published - 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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10.1002/mana.202000295

Cite this

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AU - Taranto, Chiara Alba

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KW - higher Riesz transform for sub-Laplacians

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Subelliptic Gevrey spaces

Abstract

Keywords

ASJC Scopus subject areas

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