Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:434

Article

关键词: 2-microlocal spaces;    Besov and Triebel-Lizorkin spaces;    Variable integrability;    Atomic decomposition;    Pointwise multipliers;   

DOI  :  10.1016/j.jmaa.2015.10.007

来源: Elsevier

【 摘 要 】

We provide non-smooth atomic characterizations for 2-microlocal Besov and Triebel Lizorkin spaces with variable integrability B-p(center dot)q(center dot)(omega) (R-n) and F-p(center dot)q(center dot)(omega) (R-n). These spaces cover the classical Besov and Triebel-Lizorkin spaces as well as spaces of variable smoothness and integrability. As an application, we state a pointwise multipliers result for these spaces. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free