Calculus of Variations and Geometric Measure Theory
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C. Debin - N. Gigli - E. Pasqualetto

Quasi-continuous vector fields on RCD spaces

created by gigli on 21 Jul 2020



Inserted: 21 jul 2020

Year: 2019

ArXiv: 1903.04302 PDF


In the existing language for tensor calculus on RCD spaces, tensor fields are only defined m-a.e.. In this paper we introduce the concept of tensor field defined `2-capacity-a.e.' and discuss in which sense Sobolev vector fields have a 2-capacity-a.e. uniquely defined quasi-continuous representative.

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