Weighted L^p boundedness of Fourier series with respect to generalized Jacobi weights.

Título inglés	Weighted Lp boundedness of Fourier series with respect to generalized Jacobi weights.
Título español	Acotación Lp ponderada de series de Fourier con respecto a pesos de Jacobi generalizados.
Autor/es	Guadalupe, José J. ; Pérez, Mario ; Ruiz, Francisco J. ; Varona, Juan L.
Organización	Dep. Mat. Univ. Zaragoza, Zaragoza, España;Dep. Mat. Apl. Col. Univ. La Rioja, Logroño, España
Revista	0214-1493
Publicación	1991, 35 (2): 449-459, 10 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Snf denote the n-th partial sum of the Fourier series of f in the orthogonal polynomials associated to w. We prove a result about uniform boundedness of the operators Sn in some weighted Lp spaces. The study of the norms of the kernels Kn related to the operators Sn allows us to obtain a relation between the Fourier series with respect to different generalized Jacobi weights.
Código MathReviews	MR1201566
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