Maximal, potential and singular type operators on Herz spaces with variable exponents

被引：152

作者：

Almeida, Alexandre ^{[1
]}

Drihem, Douadi ^{[2
]}

机构：

[1] Univ Aveiro, Dept Math, Ctr Res & Dev Math & Applicat, P-3810322 Aveiro, Portugal

[2] MSila Univ, Dept Math, Lab Math Pure & Appl, Msila 28000, Algeria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 394卷 / 02期

关键词：

Herz space; Variable exponent; Embeddings; Sublinear operator; SUBLINEAR-OPERATORS; LEBESGUE SPACES; BOUNDEDNESS; THEOREM;

D O I：

10.1016/j.jmaa.2012.04.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate both homogeneous and inhomogeneous Herz spaces where the two main indices are variable exponents. Under natural regularity assumptions on the exponent functions, we prove the boundedness of a wide class of sublinear operators on these spaces, which includes maximal, potential and Calderon-Zygmund operators. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：781 / 795

页数：15

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