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

页码：1409 / 1422

页数：14

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