Comparison of LP- capacity and hausdorff measure
Comparison of LP- capacity and hausdorff measure
复制标题
LP-容量与hausdorff测量的比较
DOI：
10.1080/17476939008814453
复制
发表时间：
1990
影响因子：
0.9
通讯作者：
Hiroaki Aikawa
中科院分区：
文献类型：
--
作者：
Hiroaki Aikawa
设k(R)是一般核。研究了Lp-容量Ck.p的零集与Hausdorff测度的零集之间的关系。通过构造对称的广义Cantor集，给出了这些关系的最佳可能性。我们的结果推广了[3]，并且可以被认为是Carleson[4，§IV]中经典容量Ck的性质的Lp-容量版本。
Let k(r) be a general kernel. Relationships between the null sets of LP-capacity Ck.p.and those of Hausdorff measure are studied. The best possibility of the relationships is given by constructing symmetric generalized Cantor sets. Our results generalize [3] and may be considered to be an LP-capacity version of the properties of classical capacities C k in Carleson [4,§IV].