Weighted estimates for the Hankel transform transplantation operator

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概要

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• The Hankel transform transplantation operator is investigated by means of a suitably established local version of the Calder\'on-Zygmund operator theory. This approach produces weighted norm inequalities with weights more general than previously considered power weights. Moreover, it also allows to obtain weighted weak type $(1,1)$ inequalities, which seem to be new even in the unweighted setting. As a typical application of the transplantation, multiplier results in weighted $L^p$ spaces with general weights are obtained for the Hankel transform of any order greater than $-1$ by transplanting cosine transform multiplier results.

• 東北大学の論文

著者

• Stempak Krzysztof

  Instytut Matematyczny Politechnikiwroclawskiej

• Nowak Adam

  Instytut Matematyki, Politechnika Wroclawska

• Nowak Adam

  Instytut Matematyki Politechnika Wroclawska

関連論文

• Relating multipliers and transplantation for Fourier-Bessel expansionsand Hankel transform
• Weighted estimates for the Hankel transform transplantation operator
• Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one

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