From local to global in quasiconformal structures.

Heinonen, J; Koskela, P · Proc Natl Acad Sci U S A · 1996

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Abstract

We exhibit a large class of metric spaces whose infinitesimal quasiconformal structure is strong enough to capture the global quasiconformal structure. A sufficient condition for this to happen is described in terms of a Poincaré-type inequality.