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

preprint2011arXivOpen access

Abstract

Let L=−Δ+VL=-Δ+V be a Schrödinger operator, where ΔΔ is the Laplacian operator on $\rz$, while the nonnegative potential VV 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.

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