Weighted Norm Inequalities for Area Functions Related to Schrödinger Operators
- 12 Downloads
Let L = −Δ + V be a Schrödinger operator, where Δ is the Laplacian operator on ℝn, and V is a nonnegative potential belonging to certain reverse Hölder class. In this paper, we establish some weighted norm inequalities for area functions related to Schrödinger operators and their commutators.
KeywordsArea function Schrödinger operator weighted norm inequality
MSC2010 numbers42B25 42B20
Unable to display preview. Download preview PDF.
- 11.M. M. Rao and Z. D. Ren, Theory of Orlicz spaces, Monogr. Textbooks Pure Appl. Math.146, (Marcel Dekker, New York, 1991).Google Scholar
- 14.L. Tang, “Weighted norm inequalities for commutators of Littlewood–Paley functions related to Schrödinger operators”, arXiv:1109.0100.Google Scholar
- 15.J. Zhong, Harmonic analysis for some Schrödinger type operators, Ph.D. Thesis. (Princeton University, Princeton, 1993).Google Scholar