Maximal Inequalities and Riesz Transform Estimates on $L^p$ Spaces for Magnetic Schrodinger Operators I
Classical Analysis and ODEs
2009-05-05 v1 Analysis of PDEs
Abstract
The paper concerns the magnetic Schr\"odinger operator on . Under certain conditions, given in terms of the reverse H\"older inequality on the magnetic field and the electric potential, we prove some estimates on the Riesz transforms and we establish some related maximal inequalities.
Keywords
Cite
@article{arxiv.0905.0264,
title = {Maximal Inequalities and Riesz Transform Estimates on $L^p$ Spaces for Magnetic Schrodinger Operators I},
author = {Besma Ben Ali},
journal= {arXiv preprint arXiv:0905.0264},
year = {2009}
}
Comments
34 pages, submitted