English

On geometric characterizations of mappings generate composition operators on Sobolev spaces

Analysis of PDEs 2023-12-19 v1

Abstract

In this work we consider refined geometric characterizations of mappings generate composition operators on Sobolev spaces. The detailed proofs in the cases n1<q<nn-1<q<n and n>qn>q are given.

Keywords

Cite

@article{arxiv.2312.10182,
  title  = {On geometric characterizations of mappings generate composition operators on Sobolev spaces},
  author = {Alexander Ukhlov},
  journal= {arXiv preprint arXiv:2312.10182},
  year   = {2023}
}

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15 pages