Maximal inequalities and Riesz transform estimates on L^p spaces for Schrödinger operators with nonnegative potentials

Pascal Auscher, Besma Ben Ali

Type: Article

Publication Date: 2007-01-01

Citations: 95

DOI: https://doi.org/10.5802/aif.2320

Abstract

We show various L p estimates for Schrödinger operators -Δ+V on ℝ n and their square roots. We assume reverse Hölder estimates on the potential, and improve some results of Shen. Our main tools are improved Fefferman-Phong inequalities and reverse Hölder estimates for weak solutions of -Δ+V and their gradients.

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
Annales de l’institut Fourier - View - PDF

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