Lebesgue Space Estimates for Spherical Maximal Functions on Heisenberg Groups

被引：8

作者：

Roos, Joris ^{[1
,2
,3
]}

Seeger, Andreas ^{[4
]}

Srivastava, Rajula ^{[4
]}

机构：

[1] Univ Massachusetts Lowell, Dept Math Sci, Lowell, MA 01854 USA

[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Scotland

[3] TheUnivers Edinburgh, Edinburgh EH9 3FD, Scotland

[4] Univ Wisconsin, Dept Math, 480 Lincoln Dr, Madison, WI 53706 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 24期

基金：

美国国家科学基金会;

关键词：

OSCILLATORY INTEGRALS; OPERATORS;

D O I：

10.1093/imrn/rnab246

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove L-p -> L-q estimates for local maximal operators associated with dilates of codimension two spheres in Heisenberg groups; these are sharp up to two endpoints. The results can be applied to improve currently known bounds on sparse domination for global maximal operators. We also consider lacunary variants and extensions to Metivier groups.

引用

页码：19222 / 19257

页数：36

共 34 条

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