Classes of weights related to Schrodinger operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:373

Article

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

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

关键词: Schrodinger operator;    Riesz transforms;    Maximal operators;    Weights;   

DOI  :  10.1016/j.jmaa.2010.08.008

来源: Elsevier

【 摘 要 】

In this work we obtain boundedness on weighted Lebesgue spaces on R-d of the semi-group maximal function, Riesz transforms, fractional integrals and g-function associated to the Schrodinger operator -Delta + V. where V satisfies a reverse Holder inequality with exponent greater than d/2. We consider new classes of weights that locally behave as Muckenhoupt's weights and actually include them. The notion of locality is defined by means of the critical radius function of the potential V given in Shen (1995) [8]. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free