Equivalent norms for polynomials on the sphere
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2007
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| _version_ | 1866913551621292032 |
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| author | Marzo, Jordi Ortega-Cerdà, Joaquim |
| author_facet | Marzo, Jordi Ortega-Cerdà, Joaquim |
| contents | We study comparison of Lp norms of polynomials on the sphere with respect to doubling measures. From our description it follows an uncertainty principle for square integrable functions on the sphere. We consider also weighted uniform versions of this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0703588 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | Equivalent norms for polynomials on the sphere Marzo, Jordi Ortega-Cerdà, Joaquim Classical Analysis and ODEs 33C55, 26D05 We study comparison of Lp norms of polynomials on the sphere with respect to doubling measures. From our description it follows an uncertainty principle for square integrable functions on the sphere. We consider also weighted uniform versions of this result. |
| title | Equivalent norms for polynomials on the sphere |
| topic | Classical Analysis and ODEs 33C55, 26D05 |
| url | https://arxiv.org/abs/math/0703588 |