Bernstein inequality on parabolic domains
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917385663938560 |
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| author | Xu, Yuan |
| author_facet | Xu, Yuan |
| contents | Several families of sharp Bernstein inequalities are established on the weighted $L^2$ space over parabolic domains, which include bounded or unbounded rotational paraboloids and parabolic surfaces. The main tool is a second-order differential operator satisfied by a specific basis of orthogonal polynomials in weighted $L^2$ space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04268 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bernstein inequality on parabolic domains Xu, Yuan Classical Analysis and ODEs 33C45, 42C05, 42C10 Several families of sharp Bernstein inequalities are established on the weighted $L^2$ space over parabolic domains, which include bounded or unbounded rotational paraboloids and parabolic surfaces. The main tool is a second-order differential operator satisfied by a specific basis of orthogonal polynomials in weighted $L^2$ space. |
| title | Bernstein inequality on parabolic domains |
| topic | Classical Analysis and ODEs 33C45, 42C05, 42C10 |
| url | https://arxiv.org/abs/2604.04268 |