WAVELET CHARACTERIZATION AND MODULAR INEQUALITIES FOR WEIGHTED LEBESGUE SPACES WITH VARIABLE EXPONENT

被引：29
|
作者：
Izuki, Mitsuo [1 ]
Nakai, Eiichi [2 ]
Sawano, Yoshihiro [3 ]
机构：
[1] Okayama Univ, Grad Sch Educ, Okayama 7008530, Japan
[2] Ibaraki Univ, Dept Math, Mito, Ibaraki 3108512, Japan
[3] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 1920397, Japan
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 02期
基金：
日本学术振兴会;
关键词：
Muckenhoupt weight; variable exponent; wavelet; weakly positive kernel; modular inequality; MAXIMAL OPERATOR; SUFFICIENT CONDITIONS; NORM INEQUALITIES; BOUNDEDNESS; BASES;
D O I：
10.5186/aasfm.2015.4032
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we characterize weighted Lebesgue spaces with variable exponent in terms of wavelet. Also, we disprove some weighted modular inequalities when the exponent is not a constant one without using the A(infinity)-condition on weights. As a byproduct, we shall obtain the vector-valued maximal inequalities in the weighted setting.
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页码：551 / 571
页数：21
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