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math.CV2019★ 4 cited
Uniformization with infinitesimally metric measures
Kai Rajala, Martti Rasimus, Matthew Romney
We consider extensions of quasiconformal maps and the uniformization theorem to the setting of metric spaces homeomorphic to . Given a measure on such a space,…
math.CV2018★ 5 cited
On the inverse absolute continuity of quasiconformal mappings on hypersurfaces
Dimitrios Ntalampekos, Matthew Romney
We construct quasiconformal mappings for which there is a Borel set of positive Lebesgue $…