Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one
Ciaurri, Óscar ; Stempak, Krzysztof ; Varona, Juan L.
Tohoku Math. J. (2), Tome 56 (2004) no. 1, p. 371-392 / Harvested from Project Euclid
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Two-weight $L^p$ norm inequalities, uniform with respect to the order of the involved Bessel function, are proved for the Bochner-Riesz means of the first order for the Hankel transform. Both sufficient and necessary conditions for parameters used in the two weights are determined. The proof relies on uniform pointwise asymptotic estimates for the Bessel functions that were shown by Barceló and Córdoba.
Publié le : 2004-09-14
Classification:  Bochner-Riesz means,  Hankel transform,  Bessel functions,  two-weight norm inequalities,  44A15,  44A20 
@article{1113246674,
     author = {Ciaurri, \'Oscar and Stempak, Krzysztof and Varona, Juan L.},
     title = {Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one},
     journal = {Tohoku Math. J. (2)},
     volume = {56},
     number = {1},
     year = {2004},
     pages = { 371-392},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113246674}
}

Ciaurri, Óscar; Stempak, Krzysztof; Varona, Juan L. Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp.  371-392. http://gdmltest.u-ga.fr/item/1113246674/