Weighted transplantation for Fourier-Bessel expansions

  1. Ciaurri, Ó. 1
  2. Stempak, K. 2
  1. 1 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

  2. 2 Wrocław University of Technology
    info

    Wrocław University of Technology

    Breslavia, Polonia

    ROR https://ror.org/008fyn775

Revista:
Journal d'Analyse Mathematique

ISSN: 0021-7670

Any de publicació: 2006

Volum: 100

Pàgines: 133-156

Tipus: Article

DOI: 10.1007/BF02916758 SCOPUS: 2-s2.0-34247544283 WoS: WOS:000245687800005 GOOGLE SCHOLAR

Altres publicacions en: Journal d'Analyse Mathematique

Repositori institucional: lock_openAccés obert Editor

Resum

We prove weighted transplantation inequalities for Fourier-Bessel series with weights more general than previously considered power weights. These inequalities follow by using a local version of the Calderón-Zygmund operator theory. The approach also allows us to obtain weighted weak type (1,1) inequalities. As a typical application of transplantation inequalities, a multiplier result for the expansions considered is proved within a weighted setting with general weights.