Abstract
We study the weak regularity of mappings inverse to weighted Sobolev homeomorphisms φ : Ω —> Ω, where Ω and Ω are domains in ℝn. Using the weak regularity of inverse mappings we obtain the composition duality property of composition operators on weighted Sobolev spaces.
| Original language | English |
|---|---|
| Pages (from-to) | 283-304 |
| Number of pages | 22 |
| Journal | Pure and Applied Functional Analysis |
| Volume | 9 |
| Issue number | 1 |
| State | Published - 1 Jan 2024 |
Keywords
- Quasiconformal mappings
- Weighted Sobolev spaces
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
- Control and Optimization