Fractional Orlicz-Sobolev embeddings into Campanato type spaces
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912432866197504 |
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| author | Alberico, Angela Cianchi, Andrea Pick, Luboš Slavíková, Lenka |
| author_facet | Alberico, Angela Cianchi, Andrea Pick, Luboš Slavíková, Lenka |
| contents | Optimal embeddings for fractional Orlicz-Sobolev spaces into (generalized) Campanato spaces on the Euclidean space are exhibited.
Embeddings into vanishing Campanato spaces are also characterized. Sharp embeddings into $\operatorname{BMO}(\mathbb R^n)$ and $\operatorname{VMO}(\mathbb R^n)$ are derived as special instances. Dissimilarities to corresponding embeddings for classical fractional Sobolev spaces are pointed out. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13669 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fractional Orlicz-Sobolev embeddings into Campanato type spaces Alberico, Angela Cianchi, Andrea Pick, Luboš Slavíková, Lenka Functional Analysis 46E35, 46E30 Optimal embeddings for fractional Orlicz-Sobolev spaces into (generalized) Campanato spaces on the Euclidean space are exhibited. Embeddings into vanishing Campanato spaces are also characterized. Sharp embeddings into $\operatorname{BMO}(\mathbb R^n)$ and $\operatorname{VMO}(\mathbb R^n)$ are derived as special instances. Dissimilarities to corresponding embeddings for classical fractional Sobolev spaces are pointed out. |
| title | Fractional Orlicz-Sobolev embeddings into Campanato type spaces |
| topic | Functional Analysis 46E35, 46E30 |
| url | https://arxiv.org/abs/2506.13669 |