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

  1. Guadalupe Hernández, José Javier 1
  2. Pérez Riera, Mario 1
  3. Ruiz Blasco, Francisco José 1
  4. Varona Malumbres, Juan Luis 1
  1. 1 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Zeitschrift:
Publicacions matematiques

ISSN: 0214-1493

Datum der Publikation: 1991

Ausgabe: 35

Nummer: 2

Seiten: 449-459

Art: Artikel

DOI: 10.5565/PUBLMAT_35291_08 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Andere Publikationen in: Publicacions matematiques

Institutionelles Repository: lock_openOpen Access Editor lock_openOpen Access Postprint

Zusammenfassung

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.

Fuente de los datos: Dialnet