Quasiconformal and BMO-quasiconformal homeomorphisms
Jean-Pierre OtalUniversité Paul Sabatier, Toulouse, France
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We expose a proof of the existence and uniqueness of homeomorphic solutions to the Beltrami equation a.e. in two cases. First, when the norm of is : the homeomorphic solution is quasiconformal. Then when is bounded above by a function which is locally in BMO. In this case, the homeomorphic solution is BMO-quasiconformal.