On master test plans for the space of BV functions

Nobili F, Pasqualetto E, Schultz T (2022)
Advances in Calculus of Variations .

Zeitschriftenaufsatz | E-Veröff. vor dem Druck | Englisch
 
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Autor*in
Nobili, Francesco; Pasqualetto, Enrico; Schultz, TimoUniBi
Abstract / Bemerkung
We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all BV functions and their total variation measures. In the setting of non-branching CD(K, N) spaces (with finite reference measure), we can additionally require these test plans to be concentrated on geodesics.
Stichworte
Function of bounded variation; CD space; test plan
Erscheinungsjahr
2022
Zeitschriftentitel
Advances in Calculus of Variations
ISSN
1864-8258
eISSN
1864-8266
Page URI
https://pub.uni-bielefeld.de/record/2963822

Zitieren

Nobili F, Pasqualetto E, Schultz T. On master test plans for the space of BV functions. Advances in Calculus of Variations . 2022.
Nobili, F., Pasqualetto, E., & Schultz, T. (2022). On master test plans for the space of BV functions. Advances in Calculus of Variations . https://doi.org/10.1515/acv-2021-0078
Nobili, F., Pasqualetto, E., and Schultz, T. (2022). On master test plans for the space of BV functions. Advances in Calculus of Variations .
Nobili, F., Pasqualetto, E., & Schultz, T., 2022. On master test plans for the space of BV functions. Advances in Calculus of Variations .
F. Nobili, E. Pasqualetto, and T. Schultz, “On master test plans for the space of BV functions”, Advances in Calculus of Variations , 2022.
Nobili, F., Pasqualetto, E., Schultz, T.: On master test plans for the space of BV functions. Advances in Calculus of Variations . (2022).
Nobili, Francesco, Pasqualetto, Enrico, and Schultz, Timo. “On master test plans for the space of BV functions”. Advances in Calculus of Variations (2022).

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