Let G be a homogeneous Lie group. We prove that for every closed, homogeneous subset Γ of G* which is invariant under the coadjoint action, there exists a regular kernel P such that P goes to 0 in any representation from Γ and P satisfies the Rockland condition outside Γ. We prove a subelliptic estimate as an application.
@article{bwmeta1.element.bwnjournal-article-smv131i1p63bwm,
author = {Waldemar Hebisch},
title = {On operators satisfying the Rockland condition},
journal = {Studia Mathematica},
volume = {129},
year = {1998},
pages = {63-71},
zbl = {0924.22007},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv131i1p63bwm}
}
Hebisch, Waldemar. On operators satisfying the Rockland condition. Studia Mathematica, Tome 129 (1998) pp. 63-71. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv131i1p63bwm/
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