Maximal inequalities and Riesz transform estimates on $L^p$ spaces for Schr\"odinger operators with nonnegative potentials
偏微分方程分析
2007-05-23 v3 经典分析与常微分方程
摘要
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.
引用
@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}
}
备注
Revised version