On pointwise a.e. convergence of multilinear operators

被引：1

作者：

Grafakos, Loukas ^{[1
]}

He, Danqing ^{[2
]}

Honzik, Petr ^{[3
]}

Park, Bae Jun ^{[4
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

[2] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

[3] Charles Univ Prague, Dept Math, Prague 1, Czech Republic

[4] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2024年 / 76卷 / 03期

基金：

国家重点研发计划; 上海市自然科学基金;

关键词：

42B15; 42B25;

D O I：

10.4153/S0008414X23000305

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) the doubly truncated homogeneous singular integral operators associated with L-q functions on the sphere and (b) lacunary multiplier operators of limited smoothness. The a.e. convergence is deduced from the L-2 x. x L-2 -> L-2/m boundedness of the associated maximal multilinear operators.

引用

页码：1005 / 1032

页数：28

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