一类kakeya型集的维数估计

摘要

Kakeya问题即寻找单位线段可以在其内部任意旋转且具有最小面积的问题.kakeya集也就是在每一个方向上都包含一个单位线段的紧集，又称为bisicovitch集，关于它的minkowski维数，hausdorff维数一直备受关注（见文[1]）.本文试图将[1][2]文中的kakeya集的mikowski维数与hausdorff维数作一个归纳总结。%Kakeya problem is looking for a unit line segment in its internal arbitrary rotation and have a minimum size.Kakeya set is a thin set which contains a unit line segment in every direction,kakeya set also mean bisicovitch set.About its minkowski dimension and hausdorff dimension is studying all zhe time(refer to[1]).This paper is attempt to summarizing minkowshi dimension and hausdorff dimension of[1][2].