Sharp $L^p$ Convergence for Mirror-Degenerate Expansions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915752484798464 |
|---|---|
| author | D'Agostino, Francesco |
| author_facet | D'Agostino, Francesco |
| contents | We analyze weighted $L^p$ convergence for the truncated reconstruction operator in the rank-one non-symmetric Heckman--Opdam setting. After localization at the mirror, the operator admits a rigid structural decomposition and reduces, up to bounded terms, to a rank-one functional. Boundedness on $L^p(w)$ is characterized by the mirror-local integrability of $w^{-\frac{1}{p-1}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17068 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sharp $L^p$ Convergence for Mirror-Degenerate Expansions D'Agostino, Francesco General Mathematics We analyze weighted $L^p$ convergence for the truncated reconstruction operator in the rank-one non-symmetric Heckman--Opdam setting. After localization at the mirror, the operator admits a rigid structural decomposition and reduces, up to bounded terms, to a rank-one functional. Boundedness on $L^p(w)$ is characterized by the mirror-local integrability of $w^{-\frac{1}{p-1}}$. |
| title | Sharp $L^p$ Convergence for Mirror-Degenerate Expansions |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2601.17068 |