Abstract Hardy spaces with variable exponents

被引：5
|
作者：
Liu, Yin [1 ]
Zhao, Jiman [1 ]
机构：
[1] Beijing Normal Univ, Sch Math Sci, Key Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2018年 / 167卷
基金：
中国国家自然科学基金;
关键词：
Variable exponent Hardy spaces; Atomic decomposition; Molecular decomposition; Bilinear operators; FRACTIONAL INTEGRALS; OPERATORS; SMOOTHNESS; REGULARITY; DUALITY; BESOV;
D O I：
10.1016/j.na.2017.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：29 / 50
页数：22
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