Abstract
In this paper, we study connections between composition operators on Sobolev spaces and mappings defined by p-moduli inequalities (p-capacity inequalities). We prove that weighted moduli inequalities lead to composition operators on corresponding Sobolev spaces and conversely, that composition operators on Sobolev spaces imply weighted moduli inequalities.
| Original language | English |
|---|---|
| Pages (from-to) | 101-113 |
| Number of pages | 13 |
| Journal | Mathematical Reports |
| Volume | 26-76 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Jan 2024 |
Keywords
- Sobolev spaces
- quasiconformal mappings
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology
- Applied Mathematics
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