The heat kernel and frequency localized functions on the Heisenberg group

Details The heat kernel and frequency localized functions on the Heisenberg group The heat kernel and frequency localized functions on the Heisenberg group

2008-04-02

arxiv.org/abs/0804.0340v1

Mathematics

Analysis of PDEs

Scientific paper

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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