Estimates for commutators of orthogonal fourier series

  1. Guadalupe, J.J. 1
  2. Pérez, M. 2
  3. Ruiz, F.J. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

Zeitschrift:
Journal of the London Mathematical Society Print

ISSN: 0024-6107

Datum der Publikation: 1996

Ausgabe: 54

Nummer: 2

Seiten: 311-322

Art: Artikel

DOI: 10.1112/JLMS/54.2.311 SCOPUS: 2-s2.0-0041117663 WoS: WOS:A1996VT75700009 GOOGLE SCHOLAR

Andere Publikationen in: Journal of the London Mathematical Society Print

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

In this paper we study weighted norm inequalities for the commutators [b, Sn] where b is a BMO function and Sn denotes the nth partial sum of the Fourier series relative to a system of orthogonal polynomials on [-1, 1] with respect to general weights. Results about generalized Jacobi and Bessel Fourier series are obtained.