Bochner-Riesz means on symmetric spaces

被引：3
|
作者：
Meaney, C [1 ]
Prestini, E
机构：
[1] Macquarie Univ, Dept Math, N Ryde, NSW 2109, Australia
[2] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
来源：
TOHOKU MATHEMATICAL JOURNAL | 1998年 / 50卷 / 04期
关键词：
rank-one symmetric space; Bochner-Riesz mean; spherical transform; complex interpolation; Cantor-Lebesgue theorem; maximal function;
D O I：
10.2748/tmj/1178224898
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We combine results of Giulini and Mauceri and our earlier work to obtain an almost-everywhere convergence result for the Bochner-Riesz means of the inverse spherical transform of bi-invariant LP functions on a noncompact rank one Riemannian symmetric space. Following a technique of Kanjin, we show that this result is sharp.
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页码：557 / 570
页数：14
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