Two weight norm inequalities for the bilinear fractional integrals

被引：9
作者：
Li, Kangwei [1 ,2 ]
Sun, Wenchang [1 ,2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
来源：
MANUSCRIPTA MATHEMATICA | 2016年 / 150卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
CALDERON-ZYGMUND OPERATORS; MAXIMAL OPERATORS; POTENTIAL TYPE; 2-WEIGHT; BOUNDS; SPACES;
D O I：
10.1007/s00229-015-0800-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we give a characterization of the two weight strong and weak type norm inequalities for the bilinear fractional integrals in terms of Sawyer type testing conditions. Namely, we give the characterization of the following inequalities, when q a parts per thousand yen p (1), p (2) > 1 and p (1) + p (2) a parts per thousand yen p (1) p (2).
引用
收藏
页码：159 / 175
页数：17
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