Mean and weak convergence of Fourier-Bessel series

  1. Guadalupe, J.J. 1
  2. Perez, M. 2
  3. Ruiz, F.J. 2
  4. Varona, J.L. 1
  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

Revista:
Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

Any de publicació: 1993

Volum: 173

Número: 2

Pàgines: 370-389

Tipus: Article

DOI: 10.1006/JMAA.1993.1073 SCOPUS: 2-s2.0-0013108512 WoS: WOS:A1993KU93300004 GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Journal of Mathematical Analysis and Applications

Repositori institucional: lock_openAccés obert Editor lock_openAccés obert Postprint

Resum

We study the uniform boundedness on some weighted L p spaces of the partial sum operators associated to Fourier-Bessel series, obtaining necessary and sufficient conditions for this boundedness in terms of the weights. On the other hand, we study the weak and restricted weak type of the partial sum operators in the end points of the interval of strong boundedness. © 1993 Academic Press. All rights reserved.