English

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

Classical Analysis and ODEs 2009-05-05 v1 Analysis of PDEs

Abstract

The paper concerns the magnetic Schr\"odinger operator on RnR^n. We prove some LpL^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.

Keywords

Cite

@article{arxiv.0905.0265,
  title  = {Maximal Inequalities and Riesz Transform Estimates on $L^p$ Spaces for Magnetic Schrodinger Operators II},
  author = {Besma Ben Ali},
  journal= {arXiv preprint arXiv:0905.0265},
  year   = {2009}
}

Comments

29 pages, submitted