Composition operators in Orlicz-Sobolev spaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912375759699968 |
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| author | Borowski, Michał Cianchi, Andrea |
| author_facet | Borowski, Michał Cianchi, Andrea |
| contents | The continuity of the Nemytskii operator between Orlicz-Sobolev spaces is investigated. Natural Orlicz-Sobolev versions of classical results for standard Sobolev are established. The results presented not only extend the latter, but also improve them in borderline situations. Anisotropic Orlicz-Sobolev spaces are included in our analysis. The results offered for this class of spaces are new even for customary anisotropic Sobolev spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_09182 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Composition operators in Orlicz-Sobolev spaces Borowski, Michał Cianchi, Andrea Functional Analysis 46E35 (47H30 46E30) The continuity of the Nemytskii operator between Orlicz-Sobolev spaces is investigated. Natural Orlicz-Sobolev versions of classical results for standard Sobolev are established. The results presented not only extend the latter, but also improve them in borderline situations. Anisotropic Orlicz-Sobolev spaces are included in our analysis. The results offered for this class of spaces are new even for customary anisotropic Sobolev spaces. |
| title | Composition operators in Orlicz-Sobolev spaces |
| topic | Functional Analysis 46E35 (47H30 46E30) |
| url | https://arxiv.org/abs/2505.09182 |