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Weighted Norm Inequalities for Area Functions Related to Schrödinger Operators

  • L. TangEmail author
  • J. Wang
  • H. Zhu
Real and Complex Analysis
  • 12 Downloads

Abstract

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.

Keywords

Area function Schrödinger operator weighted norm inequality 

MSC2010 numbers

42B25 42B20 

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Copyright information

© Allerton Press, Inc. 2019

Authors and Affiliations

  1. 1.Peking UniversityBeijingChina
  2. 2.Tufts UniversityMedfordUSA
  3. 3.Beijing International Studies UniversityBeijingChina

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