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 language | English |
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Pages (from-to) | 811-826 |
Number of pages | 16 |
Journal | Differential and Integral Equations |
Volume | 23 |
Issue number | 9-10 |
Publication status | Published - Sep 2010 |