Equivalent norms for polynomials on the sphere

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Marzo Sánchez, Jordi
dc.contributor.author	Ortega Cerdà, Joaquim
dc.date	2009-08-20T12:28:58Z
dc.date	2009-08-20T12:28:58Z
dc.date	2008
dc.identifier.citation	1687-0247
dc.identifier.citation	553763
dc.identifier.uri	http://hdl.handle.net/2445/9176
dc.format	18 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	Duke University Press
dc.relation	Reproducció del document publicat a http://dx.doi.org/10.1093/imrn/rnm154
dc.relation	International Mathematics Research Notices, 2008, núm. 5, ID rnm154, 18 pp.
dc.relation	https://doi.org/10.1093/imrn/rnm154
dc.rights	(c) Duke University Press, 2008
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Funcions ortogonals
dc.subject	Anàlisi funcional
dc.subject	Orthogonal functions and polynomials
dc.subject	Maximal functions
dc.subject	Spaces of measurable functions
dc.title	Equivalent norms for polynomials on the sphere
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.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.