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.

引用

页码：557 / 570

页数：14

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