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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
It is part of: International Mathematics Research Notices, 2008, núm. 5, ID rnm154, 18 pp.
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ISSN: 1687-0247
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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