Composition operators in Orlicz–Sobolev spaces
Abstract
The continuity of the Nemytskii operator between Orlicz–Sobolev spaces is investigated. Natural Orlicz–Sobolev versions of classical results for standard Sobolev spaces are established. The results presented not only extend the latter, but also improve them in borderline situations. Anisotropic Orlicz–Sobolev spaces are also included. The results offered for this class of spaces are new even for customary anisotropic Sobolev spaces.
Fields of Study & Subjects
Holomorphic and Operator Theory
Analytic and geometric function theory
Numerical methods in inverse problems
Publication details
- Journal / source
- Communications in Contemporary Mathematics
- Publication date
- 17 April 2026
- Language
- EN