Maximal inequalities and Riesz transform estimates on $L^p$ spaces for Schr\"odinger operators with nonnegative potentials
Analysis of PDEs
2007-05-23 v3 Classical Analysis and ODEs
Abstract
We show various estimates for Schr\"odinger operators on and their square roots. We assume reverse H\"older estimates on the potential, and improve some results of Shen \cite{Sh1}. Our main tools are improved Fefferman-Phong inequalities and reverse H\"older estimates for weak solutions of and their gradients.
Keywords
Cite
@article{arxiv.math/0605047,
title = {Maximal inequalities and Riesz transform estimates on $L^p$ spaces for Schr\"odinger operators with nonnegative potentials},
author = {Pascal Auscher and Besma Ben Ali},
journal= {arXiv preprint arXiv:math/0605047},
year = {2007}
}
Comments
Revised version