Muckenhoupt-Wheeden conjectures for fractional integral operators

被引：0
作者：
Sawano, Yoshihiro [1 ]
Sugano, Satoko [2 ]
Tanaka, Hitoshi [3 ]
机构：
[1] Tokyo Metropolitan Univ, Dept Math & Informat Sci, 1-1 Minami Ohsawa, Hachioji, Tokyo 1920397, Japan
[2] Kobe City Coll Technol, Nishi Ku, 8-3 Gakuen Higashimachi, Kobe, Hyogo 6512194, Japan
[3] Tsukuba Univ Technol, Natl Univ Corp, Res & Support Ctr Higher Educ Hearing & Visually, Kasuga 4-12-7, Tsukuba, Ibaraki 3058521, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 449卷 / 01期
基金：
日本学术振兴会;
关键词：
Fractional integral operator; Fractional maximal operator; Muckenhoupt-Wheeden conjecture; Weighted inequalities; MAXIMAL OPERATORS; INEQUALITIES; SPACES;
D O I：
10.1016/j.jmaa.2016.11.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Muckenhoupt-Wheeden conjecture is disproved for fractional integral operator. Both the strong (p,p) and the weak (p,p) type conjectures are proved to be false. The arguments rely upon a property of the characteristic function of an approximating sequence of the Cantor set. (c) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：456 / 463
页数：8
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