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On master test plans for the space of BV functions

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 نشر من قبل Enrico Pasqualetto
 تاريخ النشر 2021
  مجال البحث
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We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all $rm BV$ functions and their total variation measures. In the setting of non-branching ${sf CD}(K,N)$ spaces (with finite reference measure), we can additionally require these test plans to be concentrated on geodesics.



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