# name
Equivalent norms for polynomials on the sphere

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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.

# metadata.dc.relation.ispartof[].value
International Mathematics Research Notices, 2008, núm. 5, ID rnm154, 18 pp.

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Equivalent norms for polynomials on the sphere