Jump inequalities for translation-invariant operators of Radon type on Zd

被引：19

作者：

Mirek, Mariusz ^{[1
,2
]}

Stein, Elias M. ^{[3
]}

Zorin-Kranich, Pavel ^{[4
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[2] Uniwersytet Wroclawski, Inst Matemat, Pl Grwnwaldzki 2-4, PL-50384 Wroclaw, Poland

[3] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[4] Univ Bonn, Math Inst, Endenicher Allee 60, D-53115 Bonn, Germany

来源：

ADVANCES IN MATHEMATICS | 2020年 / 365卷

关键词：

Discrete Radon transform; Jump inequality; DISCRETE ANALOGS; HARMONIC-ANALYSIS; ERGODIC THEOREM; SUBSETS;

D O I：

10.1016/j.aim.2020.107065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove strong jump inequalities for a large class of operators of Radon type in the discrete and ergodic theoretical settings. These inequalities are the r = 2 endpoints of the r-variational estimates studied in [14]. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：57