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.

引用

页码：407 / 407

页数：1

共 22 条

[1] Erratum to: Block-Sobolev Spaces and the Rate of Almost Everywhere Convergence of Bochner–Riesz Means
Dashan Fan
Fayou Zhao
Constructive Approximation, 2017, 45 : 407 - 407
[2] THE RATE OF ALMOST-EVERYWHERE CONVERGENCE OF BOCHNER-RIESZ MEANS ON SOBOLEV SPACES
Zhao, Junyan
Fan, Dashan
ANNALS OF FUNCTIONAL ANALYSIS, 2019, 10 (01) : 29 - 45
[3] Almost Everywhere Convergence of Bochner-Riesz Means on Hardy-Sobolev Spaces
Fan, Dashan
Zhao, Fayou
FRONTIERS OF MATHEMATICS, 2023, 18 (03): : 657 - 682
[4] BOCHNER-RIESZ MEANS ON BLOCK-SOBOLEV SPACES IN COMPACT LIE GROUP
Chen, Jiecheng
Fan, Dashan
Zhao, Fayou
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 109 (02) : 176 - 192
[5] Almost everywhere convergence of quasiradial Bochner-Riesz means
Kim, YC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 232 (02) : 332 - 346
[6] Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces
Dashan Fan
Fayou Zhao
Frontiers of Mathematics, 2023, 18 : 657 - 682
[7] Almost everywhere convergence of Bochner-Riesz means for the Hermite operators
Chen, Peng
Xuan Thinh Duong
He, Danqing
Lee, Sanghyuk
Yan, Lixin
ADVANCES IN MATHEMATICS, 2021, 392
[8] ALMOST EVERYWHERE CONVERGENCE OF BOCHNER-RIESZ MEANS FOR THE TWISTED LAPLACIAN
Jeong, Eunhee
Lee, Sanghyuk
Ryu, Jaehyeon
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 377 (09) : 6171 - 6194
[9] ON ALMOST EVERYWHERE CONVERGENCE OF BOCHNER-RIESZ MEANS IN HIGHER DIMENSIONS
CHRIST, M
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 95 (01) : 16 - 20
[10] On Almost Everywhere Convergence of Multiple Conjugate Bochner-Riesz Means
Wu Zhaoji
苏州职业大学学报, 1997, (01) : 5 - 9+12

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