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

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

paper · pdf · doi:10.48550/arxiv.0905.0264

Abstract

The paper concerns the magnetic Schrödinger operator on Rⁿ. Under certain conditions, given in terms of the reverse Hölder inequality on the magnetic field and the electric potential, we prove some L^p estimates on the Riesz transforms and we establish some related maximal inequalities.

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