Capacity of rings and mappings generate embeddings of Sobolev spaces
Classical Analysis and ODEs
2022-09-07 v2 Functional Analysis
Abstract
In this paper we give characterizations of mappings generate embeddings of Sobolev spaces in the terms of ring capacity inequalities. In addition we prove that such mappings are Lipschitz mappings in the sub-hyperbolic type capacitory metrics.
Cite
@article{arxiv.2205.04856,
title = {Capacity of rings and mappings generate embeddings of Sobolev spaces},
author = {Alexander Menovschikov and Alexander Ukhlov},
journal= {arXiv preprint arXiv:2205.04856},
year = {2022}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:2110.09261