Some Remarks on the Pointwise Sparse Domination

被引：30

作者：

Lerner, Andrei K. ^{[1
]}

Ombrosi, Sheldy ^{[2
]}

机构：

[1] Bar Ilan Univ, Dept Math, IL-5290002 Ramat Gan, Israel

[2] Univ Nacl Sur, Dept Matemat, RA-8000 Bahia Blanca, Buenos Aires, Argentina

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2020年 / 30卷 / 01期

关键词：

Sparse bounds; Singular integrals; The T1 theorem; WEIGHTED NORM INEQUALITIES; BOUNDEDNESS; OPERATORS; KERNEL;

D O I：

10.1007/s12220-019-00172-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain an improved version of the pointwise sparse domination principle established by Lerner (N Y J Math 22:341-349, 2016). This allows us to determine nearly minimal assumptions on a singular integral operator T for which it admits a sparse domination.

引用

页码：1011 / 1027

页数：17

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