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arXiv · 1903.04302

Quasi-continuous vector fields on RCD spaces

Clément Debin·Nicola Gigli·Enrico Pasqualetto
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Abstract

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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Clément Debin, Nicola Gigli, Enrico Pasqualetto. 2019-03-11. Quasi-continuous vector fields on RCD spaces. https://arxiv.org/abs/1903.04302

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