A proof of Sudakov theorem with strictly convex norms
The paper establishes a solution to the Monge problem in ℝ for a possibly asymmetric norm cost function and absolutely continuous initial measures, under the assumption that the unit ball is strictly convex-but not necessarily differentiable nor uniformly convex. The proof follows the strategy initi...
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| Format: | Journal article |
| Language: | English |
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2011
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