SOME NORM INEQUALITIES IN MUSIELAK-ORLICZ SPACES

被引：12
|
作者：
Maeda, Fumi-Yuki [1 ]
Sawano, Yoshihiro [2 ]
Shimomura, Tetsu [3 ]
机构：
[1] 4-24 Purue Higashi Machi,Nishi Ku, Hiroshima 7330872, Japan
[2] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Minami Ohsawa 1-1, Hachioji, Tokyo 1920397, Japan
[3] Hiroshima Univ, Grad Sch Educ, Dept Math, Higashihiroshima 7398524, Japan
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2016年 / 41卷 / 02期
基金：
日本学术振兴会;
关键词：
Musielak-Orlicz space; Riesz potential; weighted inequality; singular integral operator; Kerman-Sawyer inequality; Olsen inequality; FRACTIONAL INTEGRAL-OPERATORS; ATOMIC DECOMPOSITION; HARDY-SPACES; VARIABLE EXPONENTS; MAXIMAL OPERATORS; MORREY SPACES; BOUNDEDNESS;
D O I：
10.5186/aasfm.2016.4148
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our aim in this paper is to establish various norm inequalities in Musielak-Orlicz spaces. We give a generalization of a result due to Cruz-Uribe, Fiorenza, Martell and Perez and apply it to obtain norm inequalities for classical operators as well as an Olsen inequality in Musielak-Orlicz spaces.
引用
收藏
页码：721 / 744
页数：24
相关论文
共 50 条
12345