Title of article
On the Monotonicity of Optimal Transportation Plans*
Author/Authors
J. A. Cuesta-Albertos، نويسنده , , C. Matr´an، نويسنده , , A. Tuero-D´?az، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1997
Pages
9
From page
86
To page
94
Abstract
We obtain analytical properties of the maps that give optimal transportation
plans for the L2-Wasserstein distance. We take advantage of the monotonicity of
such optimal transportation plans to discuss their measurability and continuity. As
a main result of independent interest we obtain the a.e. continuity of monotone in
the sense of Zarantonello. operators
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
1997
Journal title
Journal of Mathematical Analysis and Applications
Record number
929783
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