Structure constants of the Weyl calculus
Functional Analysis
2011-09-23 v1
Abstract
We find some explicit bounds on the -norm of pseudo-differential operators with symbols defined by a metric on the phase space. In particular, we prove that this norm depends only on the "structure constants" of the metric and a fixed semi-norm of the symbol. Analogous statements are made for the Fefferman-Phong inequality.
Cite
@article{arxiv.1109.4793,
title = {Structure constants of the Weyl calculus},
author = {Wen Deng},
journal= {arXiv preprint arXiv:1109.4793},
year = {2011}
}
Comments
14 pages