Products of functions in BMO and H1 spaces on spaces of homogeneous type

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:359

Article

Feuto, Justin

关键词: Space of homogeneous type;    Hardy-Orlicz spaces;    Atomic decomposition;    Space of test function;    Distribution space;    Maximal function;   

DOI  :  10.1016/j.jmaa.2009.06.022

来源: Elsevier

【 摘 要 】

We give an extension to certain RD-space X, i.e., space of homogeneous type in the sense of Coifman and Weiss, which has the reverse doubling property, of the definition and various properties of the product of functions in BMO(X) and H-1(X), and functions in Lipschitz space Lambda(1/p-1) (X) and H-p (X) for p is an element of (n/n+0, 1] where n and theta denote respectively the dimension and the order of X. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free