Geodesic
Sharp summability for Monge transport density via interpolation
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 549-552

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Using some results proved in De Pascale and Pratelli [Calc. Var. Partial Differ. Equ. 14 (2002) 249-274] (and De Pascale et al. [Bull. London Math. Soc. 36 (2004) 383-395]) and a suitable interpolation technique, we show that the transport density relative to an L p source is also an L p function for any 1≤p≤+∞.

DOI : 10.1051/cocv:2004019
Classification : 41A05, 49N60, 49Q20, 90B06
Keywords: transport density, interpolation, summability 
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     title = {Sharp summability for {Monge} transport density via interpolation},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {549--552},
     publisher = {EDP-Sciences},
     volume = {10},
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     doi = {10.1051/cocv:2004019},
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     zbl = {1072.49033},
     language = {en},
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Pascale, Luigi De; Pratelli, Aldo. Sharp summability for Monge transport density via interpolation. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 549-552. doi: 10.1051/cocv:2004019

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