Sharp summability for Monge Transport density via Interpolation
Luigi De Pascale; Aldo Pratelli
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 10, Issue: 4, page 549-552
- ISSN: 1292-8119
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topDe Pascale, Luigi, and Pratelli, Aldo. "Sharp summability for Monge Transport density via Interpolation." ESAIM: Control, Optimisation and Calculus of Variations 10.4 (2010): 549-552. <http://eudml.org/doc/90742>.
@article{DePascale2010,
abstract = {
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 $1\leq p\leq +\infty$.
},
author = {De Pascale, Luigi, Pratelli, Aldo},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Transport density; interpolation; summability.; transport density; summability},
language = {eng},
month = {3},
number = {4},
pages = {549-552},
publisher = {EDP Sciences},
title = {Sharp summability for Monge Transport density via Interpolation},
url = {http://eudml.org/doc/90742},
volume = {10},
year = {2010},
}
TY - JOUR
AU - De Pascale, Luigi
AU - Pratelli, Aldo
TI - Sharp summability for Monge Transport density via Interpolation
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 10
IS - 4
SP - 549
EP - 552
AB -
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 $1\leq p\leq +\infty$.
LA - eng
KW - Transport density; interpolation; summability.; transport density; summability
UR - http://eudml.org/doc/90742
ER -
References
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- L. De Pascale and A. Pratelli, Regularity properties for Monge transport density and for solutions of some shape optimization problem. Calc. Var. Partial Differ. Equ.14 (2002) 249-274.
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