We prove the existence of a solution to Monge’s transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot–Carathéodory distance assuming that the initial measure is absolutely continu- ous with respect to the Haar measure of the group.
Monge's Transport problem in the Heisenberg Group
DE PASCALE, LUIGI;
2011-01-01
Abstract
We prove the existence of a solution to Monge’s transport problem between two compactly supported Borel probability measures in the Heisenberg group equipped with its Carnot–Carathéodory distance assuming that the initial measure is absolutely continu- ous with respect to the Haar measure of the group.File in questo prodotto:
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