Heat Kernel And Riesz Transform Of Schrodinger Operators
Differential Geometry
2015-03-03 v1 Analysis of PDEs
Abstract
The goal of this article is twofold: in a first part, we prove Gaussian estimates for the heat kernel of Schr{\"o}dinger operators delta + V whose potential V is "small at infinity" in an integral sense. In a second part, we prove sharp boundedness result for the associated Riesz transform with potential d(delta+V) --1/2. A characterization of p-hyperbolicity, which is of independent interest, is also proved.
Cite
@article{arxiv.1503.00510,
title = {Heat Kernel And Riesz Transform Of Schrodinger Operators},
author = {Baptiste Devyver},
journal= {arXiv preprint arXiv:1503.00510},
year = {2015}
}