Recovering functions via doubly homogeneous nonlocal gradients
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915593611902976 |
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| author | Buccheri, Stefano Ponce, Augusto C. |
| author_facet | Buccheri, Stefano Ponce, Augusto C. |
| contents | We investigate a class of nonlocal gradients featuring distinct homogeneities at zero and infinity. We establish a representation formula for such doubly homogeneous operators and derive associated Sobolev-type inequalities. We also propose open questions linked to our results, suggesting directions for future research inspired by the work of Haim Brezis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_01606 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Recovering functions via doubly homogeneous nonlocal gradients Buccheri, Stefano Ponce, Augusto C. Functional Analysis Analysis of PDEs 26A33, 47G20, 42A38, 47A67 We investigate a class of nonlocal gradients featuring distinct homogeneities at zero and infinity. We establish a representation formula for such doubly homogeneous operators and derive associated Sobolev-type inequalities. We also propose open questions linked to our results, suggesting directions for future research inspired by the work of Haim Brezis. |
| title | Recovering functions via doubly homogeneous nonlocal gradients |
| topic | Functional Analysis Analysis of PDEs 26A33, 47G20, 42A38, 47A67 |
| url | https://arxiv.org/abs/2511.01606 |