【摘要】 文中研究了R~3上一类圆盘型Besicovitch集的Hausdorff维数,将Kakeya问题二维情形的其中一种证明方法推广到R~3空间,证明了该类圆盘型Besicovitch集的Hausdorff维数为3.更多还原

【Abstract】 This dissertation is devoted to the Hausdorff dimension for a type of disc Besicovitch sets. It is well known that the situation of R~2 about Kakeya problem has been solved. There exist several methods which can prove it. One of those methods to R~3 space is generalized in this paper. It is proved that there are a type of disc Besicovitch sets in R~3 whose Hausdorff dimension is R~3.更多还原