Uniform two-weight norm inequalities for Hankel transform Bochner-Riesz means of order one

被引：1
|
作者：
Ciaurri, O
Stempak, K
Varona, JL
机构：
[1] Univ La Rioja, Dept Matemat & Computac, Logrono 26004, Spain
[2] Wroclaw Univ Technol, Inst Matemat, PL-50370 Wroclaw, Poland
来源：
TOHOKU MATHEMATICAL JOURNAL | 2004年 / 56卷 / 03期
关键词：
Bochner-Riesz means; Hankel transform; Bessel functions; two-weight norm inequalities;
D O I：
10.2748/tmj/1113246674
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 Barcelo and Cordoba.
引用
收藏
页码：371 / 392
页数：22
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