Weighted norm inequalities for polynomial expansions associated to some measures with mass points
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1
Universidad de La Rioja
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2
Universidad de Zaragoza
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ISSN: 0176-4276
Año de publicación: 1996
Volumen: 12
Número: 3
Páginas: 341-360
Tipo: Artículo
Otras publicaciones en: Constructive Approximation
Resumen
Fourier series in orthogonal polynomials with respect to a measure ν on [-1, 1] are studied when ν is a linear combination of a generalized Jacobi weight and finitely many Dirac deltas in [-1, 1]. We prove some weighted norm inequalities for the partial sum operators Sn, their maximal operator S*, and the commutator [Mb, Sn], where Mb denotes the operator of pointwise multiplication by b ∈ BMO. We also prove some norm inequalities for Sn when ν is a sum of a Laguerre weight on R+ and a positive mass on 0.