| Issue |
ESAIM: COCV
Volume 10, Number 4, October 2004
|
|
|---|---|---|
| Page(s) | 549 - 552 | |
| DOI | https://doi.org/10.1051/cocv:2004019 | |
| Published online | 15 October 2004 | |
Sharp summability for Monge Transport density via Interpolation
1
Dipartimento di Matematica Applicata, Università di Pisa,
via Bonanno Pisano 25/B, 56126 Pisa, Italy; depascal@dm.unipi.it.
2
Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy; a.pratelli@sns.it.
Received:
5
May
2003
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 Lp source is also an Lp function for any 
.
Mathematics Subject Classification: 41A05 / 49N60 / 49Q20 / 90B06
Key words: Transport density / interpolation / summability.
© EDP Sciences, SMAI, 2004
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