# Weighted Lp boundedness of Fourier series with respect to generalized Jacobi weights.

José J. Guadalupe; Mario Pérez; Francisco J. Ruiz; Juan L. Varona

Publicacions Matemàtiques (1991)

- Volume: 35, Issue: 2, page 449-459
- ISSN: 0214-1493

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topGuadalupe, José J., et al. "Weighted Lp boundedness of Fourier series with respect to generalized Jacobi weights.." Publicacions Matemàtiques 35.2 (1991): 449-459. <http://eudml.org/doc/41701>.

@article{Guadalupe1991,

abstract = {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.},

author = {Guadalupe, José J., Pérez, Mario, Ruiz, Francisco J., Varona, Juan L.},

journal = {Publicacions Matemàtiques},

keywords = {generalized Jacobi weight; Fourier series; orthogonal polynomials; weighted spaces; uniform boundedness},

language = {eng},

number = {2},

pages = {449-459},

title = {Weighted Lp boundedness of Fourier series with respect to generalized Jacobi weights.},

url = {http://eudml.org/doc/41701},

volume = {35},

year = {1991},

}

TY - JOUR

AU - Guadalupe, José J.

AU - Pérez, Mario

AU - Ruiz, Francisco J.

AU - Varona, Juan L.

TI - Weighted Lp boundedness of Fourier series with respect to generalized Jacobi weights.

JO - Publicacions Matemàtiques

PY - 1991

VL - 35

IS - 2

SP - 449

EP - 459

AB - 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.

LA - eng

KW - generalized Jacobi weight; Fourier series; orthogonal polynomials; weighted spaces; uniform boundedness

UR - http://eudml.org/doc/41701

ER -

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