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Computing the p-modulus of systems of measures via optimal plans
Archiv der Mathematik ( IF 0.5 ) Pub Date : 2020-07-02 , DOI: 10.1007/s00013-020-01489-6
Małgorzata Ciska-Niedziałomska

We use the notion of the optimal plan associated with the Fuglede p-modulus of a family of Borel measures to derive formulas for the p-modulus and the extremal function in many special cases. Among others, we deduce Rodin’s formula for a family of Hausdorff measures associated with leaves of a foliation defined by a single chart.

中文翻译:

通过最优计划计算测量系统的 p 模量

我们使用与一系列 Borel 测度的 Fuglede p-模量相关的最优计划的概念来推导出许多特殊情况下的 p-模量和极值函数的公式。其中,我们推导出与由单个图表定义的叶面相关的豪斯多夫测量族的罗丹公式。
更新日期:2020-07-02
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