Atomic decomposition of Besov spaces with variable smoothness and integrability

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:389

Article

Drihem, Douadi

关键词: Atom;    Besov space;    Local means;    Maximal function;    Variable exponent;   

DOI  :  10.1016/j.jmaa.2011.11.035

来源: Elsevier

【 摘 要 】

The aim of this paper is twofold. First we characterize the Besov spaces with variable smoothness and integrability by so-called Peetre maximal functions. Secondly we use these results to prove the atomic decomposition for these spaces. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free