Upper bounds for Fourier decay rates of fractal measures

被引：7

作者：

Du, Xiumin ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2020年 / 102卷 / 03期

基金：

美国国家科学基金会;

关键词：

42B37; (primary); DIMENSION;

D O I：

10.1112/jlms.12364

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For spherical and parabolic averages of the Fourier transform of fractal measures, we obtain new upper bounds on rates of decay by an 'intermediate dimension' trick.

引用

页码：1318 / 1336

页数：19

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