Generalised Morrey sequence spaces
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917928942698496 |
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| author | Haroske, Dorothee D. Skrzypczak, Leszek |
| author_facet | Haroske, Dorothee D. Skrzypczak, Leszek |
| contents | Generalised Morrey (function) spaces enjoyed some interest recently and found applications to PDE. Here we turn our attention to their discrete counterparts. We define generalised Morrey sequence spaces $m_{φ,p}=m_{φ,p}(\mathbb{Z}^d)$. They are natural generalisations of the classical Morrey sequence spaces $m_{u,p}$, $0<p\le u<\infty$, which were studied earlier. We consider some basic features of the spaces as well as embedding properties such as continuity, compactness and strict singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalised Morrey sequence spaces Haroske, Dorothee D. Skrzypczak, Leszek Functional Analysis 46E35, 46A45, 46B45 Generalised Morrey (function) spaces enjoyed some interest recently and found applications to PDE. Here we turn our attention to their discrete counterparts. We define generalised Morrey sequence spaces $m_{φ,p}=m_{φ,p}(\mathbb{Z}^d)$. They are natural generalisations of the classical Morrey sequence spaces $m_{u,p}$, $0<p\le u<\infty$, which were studied earlier. We consider some basic features of the spaces as well as embedding properties such as continuity, compactness and strict singularity. |
| title | Generalised Morrey sequence spaces |
| topic | Functional Analysis 46E35, 46A45, 46B45 |
| url | https://arxiv.org/abs/2502.13517 |