Weighted norm inequalities for riesz transforms of magnetic Schr̈odinger operators

Bui The Anh

Weighted norm inequalities for riesz transforms of magnetic Schr̈odinger operators

Bui The Anh^*

^*Corresponding author for this work

Faculty of Science and Engineering

Research output: Contribution to journal › Article

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,..., a_n) ∈ L² _loc and 0 ≤ V ∈ L¹ _loc. In this paper we will give weighted L^p estimates for Riesz transforms (δ=δx_k - 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
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

Access to Document

Link to publication in Scopus

Fingerprint Dive into the research topics of 'Weighted norm inequalities for riesz transforms of magnetic Schr̈odinger operators'. Together they form a unique fingerprint.

Cite this

@article{5bee165e3138458fae6faf88cbf031d4,

title = "Weighted norm inequalities for riesz transforms of magnetic Schr̈odinger operators",

abstract = "Let A = -(r i→a)2 + V be a magnetic Schr{\"o}dinger 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].",

author = "Anh, {Bui The}",

year = "2010",

month = "9",

language = "English",

volume = "23",

pages = "811--826",

journal = "Differential and Integral Equations",

issn = "0893-4983",

publisher = "Khayyam",

number = "9-10",

}

TY - JOUR

T1 - Weighted norm inequalities for riesz transforms of magnetic Schr̈odinger operators

AU - Anh, Bui The

PY - 2010/9

Y1 - 2010/9

N2 - 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].

AB - 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].

UR - http://www.scopus.com/inward/record.url?scp=84875375154&partnerID=8YFLogxK

M3 - Article

VL - 23

SP - 811

EP - 826

JO - Differential and Integral Equations

JF - Differential and Integral Equations

SN - 0893-4983

IS - 9-10

ER -