Weighted norm inequalities for the maximal operator on variable Lebesgue spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Cruz-Uribe, D.¹  Fiorenza, A.^2,3  Neugebauer, C. J.⁴ 

[1] Trinity Coll, Dept Math, Hartford, CT 06106 USA

[2] Univ Naples Federico II, Dipartimento Architettura, I-80134 Naples, Italy

[3] CNR, Sez Napoli, Ist Applicaz Calcolo Mauro Picone, I-80131 Naples, Italy

[4] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

关键词: Variable Lebesgue space;    Maximal operators;    Weights;   

DOI  :  10.1016/j.jmaa.2012.04.044

来源: Elsevier

【 摘 要 】

We prove weighted strong and weak-type norm inequalities for the Hardy-Littlewood maximal operator on the variable Lebesgue space L-p(.). Our results generalize both the classical weighted norm inequalities on L-p and the more recent results on the boundedness of the maximal operator on variable Lebesgue spaces. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free