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- W3199734157 abstract "Abstract We prove that on an arbitrary metric measure space a countable collection of test plans is sufficient to recover all <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mi>BV</m:mi> </m:math> {operatorname{BV}} functions and their total variation measures. In the setting of non-branching <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mi>𝖢𝖣</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>K</m:mi> <m:mo>,</m:mo> <m:mi>N</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:math> {mathsf{CD}(K,N)} spaces (with finite reference measure), we can additionally require these test plans to be concentrated on geodesics." @default.
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- W3199734157 date "2022-05-31" @default.
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- W3199734157 title "On master test plans for the space of BV functions" @default.
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- W3199734157 doi "https://doi.org/10.1515/acv-2021-0078" @default.
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