A1 Journal article (refereed)
Quasi-Continuous Vector Fields on RCD Spaces (2021)

Debin, C., Gigli, N., & Pasqualetto, E. (2021). Quasi-Continuous Vector Fields on RCD Spaces. Potential Analysis, 54(1), 183-211. https://doi.org/10.1007/s11118-019-09823-6

JYU authors or editors

Publication details

All authors or editors: Debin, Clément; Gigli, Nicola; Pasqualetto, Enrico

Journal or series: Potential Analysis

ISSN: 0926-2601

eISSN: 1572-929X

Publication year: 2021

Volume: 54

Issue number: 1

Pages range: 183-211

Publisher: Springer

Publication country: Netherlands

Publication language: English

DOI: https://doi.org/10.1007/s11118-019-09823-6

Publication open access: Not open

Publication channel open access:

Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/68036

Publication is parallel published: https://arxiv.org/abs/1903.04302


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.

Keywords: differential geometry; functional analysis

Free keywords: RCD space; differential calculus; quasi-continuity

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2021

Preliminary JUFO rating: 2

Last updated on 2022-17-06 at 12:22