Sharp summability for monge transport density via interpolation

de Pascale L, Pratelli A (2004)

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2004

Journal

Esaim-Control Optimisation and Calculus of Variations EDP Sciences

Publisher: EDP Sciences

Pages Range: 549-552

Journal Issue: 10

DOI: 10.1051/cocv:2004019

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 L source is also an L function for any 1 ≤ p ≤ +∞.

Authors with CRIS profile

Aldo Pratelli Lehrstuhl für Analysis

Involved external institutions

University of Pisa / Università di Pisa (UniPi) IT Italy (IT)

How to cite

APA:

de Pascale, L., & Pratelli, A. (2004). Sharp summability for monge transport density via interpolation. Esaim-Control Optimisation and Calculus of Variations, 10, 549-552. https://dx.doi.org/10.1051/cocv:2004019

MLA:

de Pascale, Luigi, and Aldo Pratelli. "Sharp summability for monge transport density via interpolation." Esaim-Control Optimisation and Calculus of Variations 10 (2004): 549-552.

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