English

Weighted norm inequalities for Schr\"odinger type operators

Functional Analysis 2011-09-02 v1

Abstract

Let L=Δ+VL=-\Delta+V be a Schr\"{o}dinger operator, where Δ\Delta is the Laplacian operator on \rz\rz, while nonnegative potential VV belongs to the reverse H\"{o}lder class. In this paper, we establish the weighted norm inequalities for some Schr\"odinger type operators, which include Riesz transforms and fractional integrals and their commutators. These results generalize substantially some well-known results.

Keywords

Cite

@article{arxiv.1109.0099,
  title  = {Weighted norm inequalities for Schr\"odinger type operators},
  author = {Lin Tang},
  journal= {arXiv preprint arXiv:1109.0099},
  year   = {2011}
}
R2 v1 2026-06-21T18:58:12.382Z