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.

Quasi-Continuous Vector Fields on RCD Spaces / Debin, C.; Gigli, N.; Pasqualetto, E.. - In: POTENTIAL ANALYSIS. - ISSN 0926-2601. - 54:(2021), pp. 183-211. [10.1007/s11118-019-09823-6]

Quasi-Continuous Vector Fields on RCD Spaces

Debin C.;Gigli N.
;
Pasqualetto E.
2021-01-01

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.
2021
54
183
211
https://link.springer.com/article/10.1007/s11118-019-09823-6
https://arxiv.org/abs/1903.04302
Debin, C.; Gigli, N.; Pasqualetto, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/111338
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