Weighted norm inequalities for riesz transforms of magnetic Schr̈odinger operators

Bui The Anh*

*Corresponding author for this work

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Let A = -(r i→a)2 + V be a magnetic Schrödinger operator acting on L2(Rn), n ≥ 1, where →a = (a1,..., an) ∈ L2 loc and 0 ≤ V ∈ L1 loc. In this paper we will give weighted Lp estimates for Riesz transforms (δ=δxk - iak)A -1/2 associated with A, k = 1,..., n, and their commutators with an appropriate range of p. Note that our obtained results extend those in [11, 12].

Original languageEnglish
Pages (from-to)811-826
Number of pages16
JournalDifferential and Integral Equations
Volume23
Issue number9-10
Publication statusPublished - Sep 2010

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