Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

Alexander Menovschikov; Alexander Ukhlov

doi:10.48550/arXiv.2110.09261

Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

Alexander Menovschikov
, Alexander Ukhlov

Department of Mathematics

Research output: Working paper/Preprint › Preprint

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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.

Original language	English
DOIs	https://doi.org/10.48550/arXiv.2110.09261
State	Published - 18 Oct 2021

Keywords

math.AP
46E35, 30C65

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10.48550/arXiv.2110.09261

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Composition operators on Sobolev spaces, Q-mappings and weighted Sobolev inequalities

Abstract

Keywords

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