关于测度的Hausdorff维数的局部化

摘要

This paper considers the localized Hausdorff dimension of measures. We define a measure μx,ε, then the localization of dim^＊Hμ at the point x is defined to be dim^＊Hμ（x）. The relations between the localized dimension dim^＊Hμ（x） and dim^＊Hμ are discussed, and an equality is obtained.%主要研究测度的豪斯道夫维数的局部化．通过定义一个测度μx，ε,从而给出dim^＊Hμ在点X的局部化维数dim^＊Hμ（x）．进而得到局部化维数dim^＊Hμ（x）与dim^＊Hμ之间的关系，并得到了一个等式关系．