ATOMIC DECOMPOSITION OF VARIABLE HARDY SPACES VIA LITTLEWOOD-PALEY-STEIN THEORY

作者：Tan, Jian^*

来源：Annals of Functional Analysis, 2018, 9(1): 87-100.

DOI：10.1215/20088752-2017-0026

• variable exponent
• atomic decomposition
• Hardy spaces
• Littlewood-Paley-Stein functions

The purpose of this paper is to give a new atomic decomposition for variable Hardy spaces via the discrete Littlewood-Paley-Stein theory. As an application of this decomposition, we assume that T is a linear operator bounded on L-q and H-p(.), and we thus obtain that T can be extended to a bounded operator from H-p(.) to L-p(.).

• 出版日期2018-2
• 单位南京邮电大学