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Weighted norm inequalities for riesz transforms of magnetic Schr̈odinger operators
Differential and Integral Equations Số 10-Sep, năm 2010 (Tập 23, trang 811-826)
ISSN: 8934983
ISSN: 8934983
DOI:
Tài liệu thuộc danh mục: Scopus
Article
English
Tóm tắt tiếng anh
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].