Maximal inequalities and Riesz transform estimates on $L^p$ spaces for Schr\

By P. Auscher, B. B. Ali. 2006

136 citations recorded by the source corpus.

We show various $L^p$ estimates for Schr\"odinger operators $-\Delta+V$ on $\RR^n$ 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 $-\Delta+V$ and their gradients.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/a7d7d28b30ba86a480bdced1a672bcc3ca20b451