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Metric currents and polylipschitz forms
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2020-04-08 , DOI: 10.1007/s00526-020-01741-5
Pekka Pankka , Elefterios Soultanis

We construct, for a locally compact metric space X, a space of polylipschitz forms \({\overline{\Gamma }}^*_c(X)\), which is a pre-dual for the space of metric currents \({\mathscr {D}}_*(X)\) of Ambrosio and Kirchheim. These polylipschitz forms may be seen as an analog of differential forms in the metric setting.



中文翻译:

公制电流和多态性形式

对于局部紧凑的度量空间X,我们构造了一个polylipschitz形式的空间\({\ overline {\ Gamma}} ^ * _ c(X)\),该空间是度量电流\({ \ mathscr {D}} _ *(X)\)。这些多形式的形式可以看作是度量设置中差异形式的类似形式。

更新日期:2020-04-20
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