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http://hdl.handle.net/2445/9176
Title: | Equivalent norms for polynomials on the sphere |
Author: | Marzo Sánchez, Jordi Ortega Cerdà, Joaquim |
Keywords: | Funcions ortogonals Anàlisi funcional Orthogonal functions and polynomials Maximal functions Spaces of measurable functions |
Issue Date: | 2008 |
Publisher: | Duke University Press |
Abstract: | We find necessary and sufficient conditions for a sequence of sets E L ⊂ § d in order to obtain the inequality where 1 ⩽ p < +∞, Q L is any polynomial of degree smaller or equal than L, μ is a doubling measure, and the constant C p is independent of L. From this description, it follows an uncertainty principle for functions in L 2 (§ d ). We also consider weighted uniform versions of this result. |
Note: | Reproducció del document publicat a http://dx.doi.org/10.1093/imrn/rnm154 |
It is part of: | International Mathematics Research Notices, 2008, núm. 5, ID rnm154, 18 pp. |
URI: | http://hdl.handle.net/2445/9176 |
Related resource: | https://doi.org/10.1093/imrn/rnm154 |
ISSN: | 1687-0247 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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