An extension theorem for some pseudo-differential operators
Analysis of PDEs
2012-05-25 v2
Abstract
In this paper we provide an extension theorem for fractional powers of some pseudo-differential operators . These extensions yields realization of the fractional powers of some pseudo-differential operators in the spirit of Caffarelli and Silvestre \cite{CSilv}. In particular every fractional power of a local pseudo-differential operator can be realized locally. We also give some properties of the relativistic Schr\"odinger operator .
Cite
@article{arxiv.1205.4320,
title = {An extension theorem for some pseudo-differential operators},
author = {Mouhamed Moustapha Fall},
journal= {arXiv preprint arXiv:1205.4320},
year = {2012}
}
Comments
This paper has been withdrawn because the main result has been already proved. The remaining part of the paper will appear in a forthcoming one