English

Composition operators on Sobolev spaces with a metric measure space as a domain. II

Functional Analysis 2025-07-24 v2

Abstract

We obtain a description of the homeomorphisms which induce bounded composition operators on Sobolev spaces of functions on metric measure spaces.

Keywords

Cite

@article{arxiv.2507.11455,
  title  = {Composition operators on Sobolev spaces with a metric measure space as a domain. II},
  author = {Danil A. Sboev and Sergey K. Vodopyanov},
  journal= {arXiv preprint arXiv:2507.11455},
  year   = {2025}
}

Comments

25 pages, 8 references