Convergencia en Lp con pesos de la Serie de Fourier respecto de algunos sistemas ortogonales

  1. Varona Malumbres, Juan Luis
unter der Leitung von:
  1. José Javier Guadalupe Hernández Doktorvater

Universität der Verteidigung: Universidad de Cantabria

Jahr der Verteidigung: 1988

Gericht:
  1. José Manuel Bayod Bayod Präsident/in
  2. Francisco José Ruiz Blasco Sekretär
  3. José Manuel Carreas Dobato Vocal
  4. Miguel Lobo Hidalgo Vocal
  5. Francisco Marcellán Español Vocal

Art: Dissertation

Teseo: 22339 DIALNET lock_openDialnet editor
Institutionelles Repository: lock_openOpen Access Postprint lock_openOpen Access Editor

Zusammenfassung

Convergence of the fourier series with respect to several orthogonal systems abstract. Given an orthogonal complete system with respect to a measure µ on an interval, we approach the convergence in weighted Lp spaces of the corresponding Fourier series. The orthogonal systems we analyze are generalized Jacobi, generalized Hermite, several systems of orthogonal polynomials with respect to weights with Dirac's deltas and Bessel and Dini's systems. In this study we use good estimates of the orthonormal functions and results on Ap-theory in order to solve the boundedness of the Hilbert transform with one or two weights.