The heat kernel and frequency localized functions on the Heisenberg group
Analysis of PDEs
2009-09-29 v1
Abstract
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.
Cite
@article{arxiv.0804.0340,
title = {The heat kernel and frequency localized functions on the Heisenberg group},
author = {Hajer Bahouri and Isabelle Gallagher},
journal= {arXiv preprint arXiv:0804.0340},
year = {2009}
}