Weighted transplantation for Fourier-Bessel expansions
- Ciaurri, Ó. 1
- Stempak, K. 2
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1
Universidad de La Rioja
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2
Wrocław University of Technology
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ISSN: 0021-7670
Año de publicación: 2006
Volumen: 100
Páginas: 133-156
Tipo: Artículo
Otras publicaciones en: Journal d'Analyse Mathematique
Resumen
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.