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The rank-one theorem
on RCD spaces
Gioacchino Antonelli, Camillo Brena and Enrico Pasqualetto |
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Vol. 17 (2024), No. 8, 2797–2840
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Abstract |
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We extend Alberti’s rank-one theorem to metric measure spaces. |
Keywords
function of bounded variation, rank-one theorem, RCD space
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Mathematical Subject Classification
Primary: 26A45, 28A75, 49Q15, 53C23
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Milestones
Received: 21 May 2022
Revised: 30 January 2023
Accepted: 6 June 2023
Published: 12 October 2024
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Authors |
| Gioacchino Antonelli | |
| Scuola Normale Superiore di
Pisa Pisa Italy |
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| Camillo Brena | |
| Scuola Normale Superiore di
Pisa Pisa Italy |
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| Enrico Pasqualetto | |
| Department of Mathematics and
Statistics University of Jyväskylä Jyväskylä Finland |
Scuola Normale Superiore di
Pisa Pisa Italy |
| © 2024 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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