Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities
Abstract
In this paper we give connections between mappings which generate bounded composition operators on Sobolev spaces and Q-mappings. On this base we obtain measure distortion properties Q-homeomorphisms. Using the composition operators on Sobolev spaces we obtain weighted Sobolev inequalities with special weights which are Jacobians of Q-mappings.
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