On Sudakov's Type Decomposition of Transference Plans with Norm Costs |
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| Author:
| Bianchini, Stefano
Daneri, Sara |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-1-4704-2766-5 |
| Publication Date: | Mar 2018 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $78.00USD $78.00 |
Book Description:
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The authors consider the original strategy proposed by Sudakov for solving the Monge transportation problem with norm cost $|\cdot|_{{D^*}}$$\min \bigg\{{ \int |\mathtt T(x) - x|_{{D^*}} d\mu(x), \ \mathtt T : \mathbb{{R}}^d \to \mathbb{{R}}^d, \ \nu = \mathtt T_\# \mu \bigg\}},$ with $\mu$, $\nu$ probability measures in $\mathbb{{R}}^d$ and $\mu$ absolutely continuous w.r.t. $\mathcal{{L}}^d$.
The authors consider the original strategy proposed by Sudakov for solving the Monge transportation problem with norm cost $|\cdot|_{{D^*}}$$\min \bigg\{{ \int |\mathtt T(x) - x|_{{D^*}} d\mu(x), \ \mathtt T : \mathbb{{R}}^d \to \mathbb{{R}}^d, \ \nu = \mathtt T_\# \mu \bigg\}},$ with $\mu$, $\nu$ probability measures in $\mathbb{{R}}^d$ and $\mu$ absolutely continuous w.r.t. $\mathcal{{L}}^d$.