关于多重分形Hewitt-Stromberg维数函数的投影
On the projections of the multifractal Hewitt-Stromberg dimension functions
摘要：
研究了多重分形Hewitt-Stromberg维数函数在欧几里得空间中投影下的行为。作为应用，我们研究了测度投影的多重分形分析。特别是，我们得到的多重分形分析的正交投影的$m$维线性子空间的措施$μ$满足的多重分形形式主义，这是基于Hewitt-Stromberg措施。
英文摘要：
The aim of this paper is to study the behavior of the multifractal Hewitt-Stromberg dimension functions under projections in Euclidean space. As an application, we study the multifractal analysis of the projections of a measure. In particular, we obtain general results for the multifractal analysis of the orthogonal projections on $m$-dimensional linear subspaces of a measure $μ$ satisfying the multifractal formalism which is based on the Hewitt-Stromberg measures.
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