On planar sets with prescribed packing dimensions of line sections

被引:3
作者
Csörnyei, M [1 ]
机构
[1] UCL, Dept Math, London WC1E 6BT, England
关键词
D O I
10.1017/S0305004101005047
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove that for an arbitrary Borel measurable function f on the space of all planar lines there exists a set which intersects almost every line e in a set of packing dimension f(l).
引用
收藏
页码:523 / 539
页数:17
相关论文
共 3 条
  • [1] CSORNYEI M, IN PRESS B LONDON MA
  • [2] FALCONER KJ, EXAMPLES ILLUSTRATIN
  • [3] Mattila P., 1995, Fractals and rectifiability, volume 44 of Cambridge Studies in Advanced Mathematics, V44