Abstract Hardy spaces with variable exponents

作者：Liu, Yin; Zhao, Jiman^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2018, 167: 29-50.

DOI：10.1016/j.na.2017.10.011

• Variable exponent Hardy spaces
• Atomic decomposition
• Molecular decomposition
• Bilinear operators

In this paper, we introduce the definition of abstract Hardy spaces with variable exponents via the atomic decomposition and molecular decomposition. We prove the continuity from our variable Hardy space H-ato(p(.)) into L-p(.), where p(.) : R-n (0, 1], 0 < p- <= p+<= 1. Moreover, we investigate the bilinear theory. Finally, we give an application of the abstract Hardy spaces with variable exponents.

• 出版日期2018-1
• 单位北京师范大学