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

Zeitschrift:
Journal d'Analyse Mathematique

ISSN: 0021-7670

Datum der Publikation: 2006

Ausgabe: 100

Seiten: 133-156

Art: Artikel

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

Andere Publikationen in: Journal d'Analyse Mathematique

Institutionelles Repository: lock_openOpen Access Editor

Zusammenfassung

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.