A NOTE ON WEIGHTED NORM INEQUALITIES FOR FRACTIONAL MAXIMAL OPERATORS WITH NON-DOUBLING MEASURES

被引：2
|
作者：
Wang, Weihong [1 ]
Tan, Chaoqiang [1 ]
Lou, Zengjian [1 ]
机构：
[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 04期
关键词：
Non-homogeneous spaces; Fractional maximal operators; Muckenhoupt weights; CALDERON-ZYGMUND OPERATORS; BMO;
D O I：
10.11650/twjm/1500406741
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let mu be a non-negative Borel measure on R-d which only satisfies some growth condition, we study two-weight norm inequalities for fractional maximal functions associated to such mu. A necessary and sufficient condition for the maximal operator to be bounded from L-p (v) into weak L-q (u) (1 <= p <= q < infinity) is given. Furthermore, by using certain Orlicz norm, a strong type inequality is obtained.
引用
收藏
页码：1409 / 1422
页数：14
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