Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.17736 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916805492080640 |
|---|---|
| author | Maulidi, Ikhsan Ohtsuka, Hiroshi |
| author_facet | Maulidi, Ikhsan Ohtsuka, Hiroshi |
| contents | We present a new characterization of higher-order Sobolev spaces on the sphere. Building on the approach of Barceló et al. (2020), we refine the square function they introduced for this purpose. In particular, we provide a detailed analysis of the weight function and the averaging range in its definition. Our results demonstrate that averaging can be performed using a weight function from a broad class, and that the averaging domain can be restricted to a local coordinate patch on the sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17736 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterization of Higher-Order Sobolev Spaces on the Sphere via Generalized Averaging of Function Maulidi, Ikhsan Ohtsuka, Hiroshi Functional Analysis 46E35, 43A90 We present a new characterization of higher-order Sobolev spaces on the sphere. Building on the approach of Barceló et al. (2020), we refine the square function they introduced for this purpose. In particular, we provide a detailed analysis of the weight function and the averaging range in its definition. Our results demonstrate that averaging can be performed using a weight function from a broad class, and that the averaging domain can be restricted to a local coordinate patch on the sphere. |
| title | Characterization of Higher-Order Sobolev Spaces on the Sphere via Generalized Averaging of Function |
| topic | Functional Analysis 46E35, 43A90 |
| url | https://arxiv.org/abs/2506.17736 |