An extension of Calderon-Zygmund type singular integral

被引：5
|
作者：
Yu, Huan [1 ]
Jiu, Quansen [2 ]
Li, Dongsheng [3 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
[3] Xi An Jiao Tong Univ, Coll Sci, Xian 710049, Peoples R China
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2021年 / 280卷 / 05期
基金：
中国国家自然科学基金; 北京市自然科学基金;
关键词：
Calderon-Zygmund; Singular integral;
D O I：
10.1016/j.jfa.2020.108887
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider a kind of singular integral which can be viewed as an extension of the classical Calderon-Zygmund type singular integral. We establish an estimate of the singular integral in the L-q space for 1 < q < infinity. In particular, the Calderon-Zygmund estimate can be recovered from our obtained estimate. The proof of our main result is via the so called "geometric approach", which was applied in [1] on the L-q estimate of the elliptic equations and in [3,5] on a new proof of the Calderon-Zygmund estimate. (C) 2020 Elsevier Inc. All rights reserved.
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页数：22
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