Gagliardo-Nirenberg inequalities in weighted Orlicz spaces

被引：16
|
作者：
Kalamajska, A [1 ]
Pietruska-Paluba, K [1 ]
机构：
[1] Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland
来源：
STUDIA MATHEMATICA | 2006年 / 173卷 / 01期
关键词：
Gagliardo-Nirenberg inequalities; Orlicz spaces; maximal function;
D O I：
10.4064/sm173-1-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We derive inequalities of Gagliardo-Nirenberg type in weighted Orlicz spaces on R-n, for maximal functions of derivatives and for the derivatives themselves. This is done by an application of pointwise interpolation inequalities obtained previously by the first author and of Muckenhoupt-Bloom-Kerman-type theorems for maximal functions.
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页码：49 / 71
页数：23
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