Proceedings/Recueil Des Communications Progress in Nonlinear Differential Equations and their Applications Année : 2009

The heat kernel and frequency localized functions on the Heisenberg group

Résumé

The goal of this paper is to study the action of the heat operator on the Heisenberg group H^d, and in particular to characterize Besov spaces of negative index on H^d in terms of the heat kernel. That characterization can be extended to positive indexes using Bernstein inequalities. As a corollary we obtain a proof of refined Sobolev inequalities in W^{s,p} spaces.

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hal-00269201 , version 1 (02-04-2008)

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Hajer Bahouri, Isabelle Gallagher. The heat kernel and frequency localized functions on the Heisenberg group. Progress in Nonlinear Differential Equations and their Applications, 2009. ⟨hal-00269201⟩
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