论文标题
措施的豪斯多夫维度的微局部方法
Microlocal approach to the Hausdorff dimension of measures
论文作者
论文摘要
在本文中，我们研究了ra量测量的几何特性的依赖性，例如Hausdorff尺寸和单数集的重新可相关性，对波前集合。这是通过将Brummelhuis的方法调整为非分析情况来实现的。作为一种应用，我们获得了一个不确定性原理的一般形式，用于对复杂球的措施进行衡量，该措施涵盖了有关pluriharmonic措施的某些经典结果。
In this paper we study the dependence of geometric properties of Radon measures, such as Hausdorff dimension and rectifiability of singular sets, on the wavefront set. This is achieved by adapting the method of Brummelhuis to the non-analytic case. As an application we obtain a general form of uncertainty principle for measures on the complex sphere which subsumes certain classical results about pluriharmonic measures.
