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Subelliptic Gevrey spaces
Author(s) -
Fischer Véronique,
Ruzhansky Michael,
Taranto Chiara Alba
Publication year - 2021
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.202000295
Subject(s) - mathematics , heisenberg group , pure mathematics , laplace operator , lie group , polynomial , group (periodic table) , mathematical analysis , chemistry , organic chemistry
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 S U ( 2 ) , we show that all our descriptions coincide.