Composition operators on Sobolev spaces, $Q$-mappings and weighted Sobolev inequalities
Analysis of PDEs
2022-04-28 v2
Abstract
In this paper we give connections between mappings which generate bounded composition operators on Sobolev spaces and -mappings. On this base we obtain measure distortion properties -homeomorphisms. Using the composition operators on Sobolev spaces we obtain weighted Sobolev inequalities with special weights which are Jacobians of -mappings.
Keywords
Cite
@article{arxiv.2110.09261,
title = {Composition operators on Sobolev spaces, $Q$-mappings and weighted Sobolev inequalities},
author = {Alexander Menovschikov and Alexander Ukhlov},
journal= {arXiv preprint arXiv:2110.09261},
year = {2022}
}
Comments
16 pages