Maximal Inequalities and Riesz Transform Estimates on L^p Spaces for Magnetic Schrodinger Operators II

2009/05/03 by Besma Ben Ali, Ali, Besma Ben
Mathematics · #Differential Equations and Boundary Problems #Spectral Theory in Mathematical Physics #Advanced Harmonic Analysis Research

paper · pdf · doi:10.48550/arxiv.0905.0265

Abstract

The paper concerns the magnetic Schrödinger operator on Rⁿ. We prove some L^p estimates on the Riesz transforms and we establish some related maximal inequalities. The conditions that we arrive at, are essentially based on the control of the magnetic field by the electric potential.

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