Weighted transplantation for Fourier-Bessel expansions
- Ciaurri, Ó. 1
- Stempak, K. 2
-
1
Universidad de La Rioja
info
-
2
Wrocław University of Technology
info
ISSN: 0021-7670
Année de publication: 2006
Volumen: 100
Pages: 133-156
Type: Article
D'autres publications dans: Journal d'Analyse Mathematique
Résumé
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.