Abstract
The aim of this brief note is to provide a quick and elementary proof of the following known fact: on a metric measure space whose Sobolev space is separable, there exists a test plan that is sufficient to identify the minimal weak upper gradient of every Sobolev function.
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The author was supported by the Balzan project led by Luigi Ambrosio.
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Pasqualetto, E. A short proof of the existence of master test plans. Arch. Math. 120, 69–76 (2023). https://doi.org/10.1007/s00013-022-01796-0
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DOI: https://doi.org/10.1007/s00013-022-01796-0