Weighted inequalities for commutators of Schrodinger-Riesz transforms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:392

Article

Bongioanni, B.¹  Harboure, E.¹  Salinas, O.¹ 

[1] CONICET UNL, Inst Matemat Aplicada Litoral, Santa Fe, Argentina

关键词: Schrodinger operator;    Riesz transforms;    Commutators;    Weights;   

DOI  :  10.1016/j.jmaa.2012.02.008

来源: Elsevier

【 摘 要 】

In this work we obtain weighted L-p, 1 < p < infinity, and weak L log L estimates for the commutator of the Riesz transforms associated to a Schrodinger operator -Delta + V. where V satisfies some reverse-Holder inequality. The classes of weights as well as the classes of symbols are larger than A(p) and BMO corresponding to the classical Riesz transforms. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free