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2008

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/9176

Equivalent norms for polynomials on the sphere

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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.

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https://doi.org/10.1093/imrn/rnm154

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Funcions ortogonals, Anàlisi funcional

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Orthogonal functions and polynomials, Maximal functions, Spaces of measurable functions

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Articles publicats en revistes (Matemàtiques i Informàtica)

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MARZO SÁNCHEZ, Jordi and ORTEGA CERDÀ, Joaquim. Equivalent norms for polynomials on the sphere. International Mathematics Research Notices. 2008. Vol. 5, num. ID rnm154. ISSN 1687-0247. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/9176

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