Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912393182838784 |
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| author | Hajaiej, H. Leitao, R. |
| author_facet | Hajaiej, H. Leitao, R. |
| contents | In this paper, we establish an anisotropic version of Campanato Theorem and show that the anisotropic Bessel spaces are continuously embedded in the spaces of Holder continuous functions. As an application of this embedding, we build fundamental solutions for a class of anisotropic fractional Laplacian operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces Hajaiej, H. Leitao, R. Analysis of PDEs In this paper, we establish an anisotropic version of Campanato Theorem and show that the anisotropic Bessel spaces are continuously embedded in the spaces of Holder continuous functions. As an application of this embedding, we build fundamental solutions for a class of anisotropic fractional Laplacian operators. |
| title | Some remarks on Campanato Theorem and the Anisotropic Bessel Spaces |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.19289 |