Marzo Sánchez, JordiOrtega Cerdà, Joaquim2009-08-202009-08-2020081687-0247https://hdl.handle.net/2445/9176We 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.18 p.application/pdfeng(c) Duke University Press, 2008Funcions ortogonalsAnàlisi funcionalOrthogonal functions and polynomialsMaximal functionsSpaces of measurable functionsEquivalent norms for polynomials on the sphereinfo:eu-repo/semantics/article553763info:eu-repo/semantics/openAccess