Abstract
The Hankel transform transplantation operator is investigated by means of a suitably established local version of the Calderón-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 $\alpha > -1$ greater than $-1$ by transplanting cosine transform multiplier results.
Citation
Adam Nowak. Krzysztof Stempak. "Weighted estimates for the Hankel transform transplantation operator." Tohoku Math. J. (2) 58 (2) 2006. https://doi.org/10.2748/tmj/1156256405
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