Spectral Barron spaces of vector-valued functions on compact groups
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911702825566208 |
|---|---|
| author | Mensah, Yaogan Aremua, Isiaka |
| author_facet | Mensah, Yaogan Aremua, Isiaka |
| contents | In this article, we study spectral Barron spaces whose elements are made up of some vector-valued functions on a compact group whose Fourier transforms admit a certain summability property. We investigate their functional properties and some continuous embeddings of these spaces with respect to other function spaces among which are Sobolev spaces of vector-valued functions and the space of bounded vector-valued functions on compact groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12382 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral Barron spaces of vector-valued functions on compact groups Mensah, Yaogan Aremua, Isiaka Functional Analysis 43A77, 43A32, 68T07 In this article, we study spectral Barron spaces whose elements are made up of some vector-valued functions on a compact group whose Fourier transforms admit a certain summability property. We investigate their functional properties and some continuous embeddings of these spaces with respect to other function spaces among which are Sobolev spaces of vector-valued functions and the space of bounded vector-valued functions on compact groups. |
| title | Spectral Barron spaces of vector-valued functions on compact groups |
| topic | Functional Analysis 43A77, 43A32, 68T07 |
| url | https://arxiv.org/abs/2512.12382 |