Restricted Radon Transforms and Projections of Planar Sets

被引：13

作者：

Oberlin, Daniel M. ^{[1
]}

机构：

[1] Florida State Univ, Dept Math, Tallahassee, FL 32306 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2012年 / 55卷 / 04期

关键词：

D O I：

10.4153/CMB-2011-064-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a mixed norm estimate for the Radon transform in R-2 when the set of directions has fractional dimension. This estimate is used to prove a result about an exceptional set of directions connected with projections of planar sets. That leads to a conjecture analogous to a well-known conjecture of Furstenberg.

引用

页码：815 / 820

页数：6