Introduces relative optimal transport on Polish spaces with a mass reservoir subset, proving existence of optima, relative KR norm and dualities, plus a Riesz-Markov-Kakutani type result identifying relative measures with duals of relative Lipschitz functions.
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Relative Optimal Transport
Introduces relative optimal transport on Polish spaces with a mass reservoir subset, proving existence of optima, relative KR norm and dualities, plus a Riesz-Markov-Kakutani type result identifying relative measures with duals of relative Lipschitz functions.