Classification of anisotropic local Hardy spaces and inhomogeneous Triebel-Lizorkin spaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866916260438081536 |
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| author | van Velthoven, Jordy Timo Voigtlaender, Felix |
| author_facet | van Velthoven, Jordy Timo Voigtlaender, Felix |
| contents | This paper provides a characterization of when two expansive matrices yield the same anisotropic local Hardy and inhomogeneous Triebel-Lizorkin spaces. The characterization is in terms of the coarse equivalence of certain quasi-norms associated to the matrices. For nondiagonal matrices, these conditions are strictly weaker than those classifying the coincidence of the corresponding homogeneous function spaces. The obtained results complete the classification of anisotropic Besov and Triebel-Lizorkin spaces associated to general expansive matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07368 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Classification of anisotropic local Hardy spaces and inhomogeneous Triebel-Lizorkin spaces van Velthoven, Jordy Timo Voigtlaender, Felix Classical Analysis and ODEs Functional Analysis This paper provides a characterization of when two expansive matrices yield the same anisotropic local Hardy and inhomogeneous Triebel-Lizorkin spaces. The characterization is in terms of the coarse equivalence of certain quasi-norms associated to the matrices. For nondiagonal matrices, these conditions are strictly weaker than those classifying the coincidence of the corresponding homogeneous function spaces. The obtained results complete the classification of anisotropic Besov and Triebel-Lizorkin spaces associated to general expansive matrices. |
| title | Classification of anisotropic local Hardy spaces and inhomogeneous Triebel-Lizorkin spaces |
| topic | Classical Analysis and ODEs Functional Analysis |
| url | https://arxiv.org/abs/2311.07368 |