On Bernstein inequalities on the unit ball
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910247064436736 |
|---|---|
| author | Beberok, Tomasz Xu, Yuan |
| author_facet | Beberok, Tomasz Xu, Yuan |
| contents | Two types of Bernstein inequalities are established on the unit ball in $\mathbb{R}^d$, which are stronger than those known in the literature. The first type consists of inequalities in $L^p$ norm for a fully symmetric doubling weight on the unit ball. The second type consists of sharp inequalities in $L^2$ norm for the Jacobi weight, which are established via a new self-adjoint form of the spectral operator that has orthogonal polynomials as eigenfunctions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_09713 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Bernstein inequalities on the unit ball Beberok, Tomasz Xu, Yuan Classical Analysis and ODEs 33C45, 42C05, 42C10 Two types of Bernstein inequalities are established on the unit ball in $\mathbb{R}^d$, which are stronger than those known in the literature. The first type consists of inequalities in $L^p$ norm for a fully symmetric doubling weight on the unit ball. The second type consists of sharp inequalities in $L^2$ norm for the Jacobi weight, which are established via a new self-adjoint form of the spectral operator that has orthogonal polynomials as eigenfunctions. |
| title | On Bernstein inequalities on the unit ball |
| topic | Classical Analysis and ODEs 33C45, 42C05, 42C10 |
| url | https://arxiv.org/abs/2511.09713 |