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ArticleOriginal scientific text

Title

On operators satisfying the Rockland condition

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Wrocław University, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland
  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

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.

Bibliography

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Studia Mathematica
1998/131/1
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Pages:
63-71
Main language of publication
English
Received
1997-09-26
Published
1998
Exact and natural sciences