Weighted norm inequalities for commutators of Littlewood-Paley functions related to Schrödinger operators

Abstract

Let $L=-\Delta +V$ be a Schrödinger operator, where $\Delta$ is the Laplacian operator on $\rz$, while the nonnegative potential $V$ belongs to certain reverse Hölder class. In this paper, we establish some weighted norm inequalities for commutators of Littlewood-Paley functions related to Schrödinger operators.

Cited by in corpus (3)

• Weighted norm inequalities, spectral multipliers and Littlewood-Paley operators in the Schrödinger settings
• Extrapolation from $A_\fz^{ρ,\fz}$, vector-valued inequalities and applications in the Schrödinger settings
• On weighted Compactness of Commutator of semi-group maximal function associated to Schrödinger operators