Block-Sobolev Spaces and the Rate of Almost Everywhere Convergence of Bochner-Riesz Means (vol 45, pg 391, 2017)

被引：1
|
作者：
Fan, Dashan [1 ]
Zhao, Fayou [2 ]
机构：
[1] Univ Wisconsin Milwaukee, Dept Math Sci, Milwaukee, WI 53201 USA
[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
CONSTRUCTIVE APPROXIMATION | 2017年 / 45卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Almost everywhere convergence; Block-Sobolev space; Bochner–Riesz means; Sharp; Smooth blocks;
D O I：
10.1007/s00365-016-9352-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the convergence of the Bochner-Riesz means on the block-Sobolev spaces. The relation between the smoothness imposed on blocks and the rate of almost everywhere convergence of the generalized Bochner-Riesz means at the critical index is given.
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页码：407 / 407
页数：1
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