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Pré-Publication, Document De Travail Année : 2008

Absolute continuity and summability of transport densities: simpler proofs and new estimates

Résumé

The paper presents some short proofs for transport density absolute continuity and Lp estimates. Most of the previously existing results which were proven by geometric arguments are re-proved through a strategy based on displacement interpolation and on approximation by discrete measures; some of them are partially extended.
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Dates et versions

hal-00361141 , version 1 (13-02-2009)

Identifiants

  • HAL Id : hal-00361141 , version 1

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Filippo Santambrogio. Absolute continuity and summability of transport densities: simpler proofs and new estimates. 2008. ⟨hal-00361141⟩
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