SPARSE BOUNDS FOR DISCRETE SINGULAR RADON TRANSFORMS

被引：1

作者：

Anderson, Theresa C. ^{[1
]}

Hu, Bingyang ^{[1
]}

Roos, Joris ^{[2
]}

机构：

[1] Purdue Univ, 150 N Univ St, W Lafayette, IN 47907 USA

[2] Univ Massachusetts, 220 Pawtucket St, Lowell, MA 01854 USA

来源：

COLLOQUIUM MATHEMATICUM | 2021年 / 165卷 / 02期

关键词：

discrete Radon transform; singular Radon transform; sparse bounds; DOMINATION;

D O I：

10.4064/cm8296-8-2020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that discrete singular Radon transforms along a certain class of polynomial mappings P : Z(d) -> Z(n) satisfy sparse bounds. For n = d = 1 we can handle all polynomials. In higher dimensions, we pose restrictions on the admissible polynomial mappings stemming from a combination of interacting geometric, analytic and number-theoretic obstacles.

引用

页码：199 / 217

页数：19

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