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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:394

Article

Almeida, Alexandre¹  Drihem, Douadi² 

[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

关键词: Herz space;    Variable exponent;    Embeddings;    Sublinear operator;   

DOI  :  10.1016/j.jmaa.2012.04.043

来源: Elsevier

【 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.

【 授权许可】

Free