From local to global in quasiconformal structures.
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.
Heinonen
J
J
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA.
Koskela
P
P