Almost Everywhere Convergence of Bochner-Riesz Means on Hardy-Sobolev Spaces

被引：1

作者：

Fan, Dashan ^{[1
]}

Zhao, Fayou ^{[2
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

[2] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

FRONTIERS OF MATHEMATICS | 2023年 / 18卷 / 03期

基金：

中国国家自然科学基金; 上海市自然科学基金;

关键词：

Hardy-Sobolev spaces; Bochner-Riesz means; almost everywhere convergence; maximal functions; MULTIPLIERS;

D O I：

10.1007/s11464-020-0107-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the convergence of Bochner-Riesz means on Hardy-Sobolev spaces. The relation between the smoothness imposed on functions and the rate of almost everywhere convergence of the generalized Bochner-Riesz means is given.

引用

页码：657 / 682

页数：26

共 50 条

[1] 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
[2] Almost Everywhere Convergence of Bochner–Riesz Means on Hardy–Sobolev Spaces
Dashan Fan
Fayou Zhao
Frontiers of Mathematics, 2023, 18 : 657 - 682
[3] 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
[4] 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
[5] Almost everywhere convergence of Bochner-Riesz means with critical index for Dunkl transforms
Dai, Feng
Ye, Wenrui
JOURNAL OF APPROXIMATION THEORY, 2016, 205 : 43 - 59
[6] ALMOST EVERYWHERE CONVERGENCE FOR MODIFIED BOCHNER-RIESZ MEANS AT THE CRITICAL INDEX FOR p ≥ 2
Annoni, Marco
PACIFIC JOURNAL OF MATHEMATICS, 2017, 286 (02) : 257 - 275
[7] Block-Sobolev Spaces and the Rate of Almost Everywhere Convergence of Bochner-Riesz Means (vol 45, pg 391, 2017)
Fan, Dashan
Zhao, Fayou
CONSTRUCTIVE APPROXIMATION, 2017, 45 (03) : 407 - 407
[8] Almost everywhere convergence of the Bochner-Riesz means for the Dunkl transforms of weighted Lp-functions
Ye, Wenrui
ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 981 - 1006
[9] On almost everywhere divergence of Bochner-Riesz means on compact Lie groups
Chen, Xianghong
Fan, Dashan
MATHEMATISCHE ZEITSCHRIFT, 2018, 289 (3-4) : 961 - 981
[10] The Bochner-Riesz means for Fourier-Bessel expansions: Norm inequalities for the maximal operator and almost everywhere convergence
Ciaurri, Oscar
Roncal, Luz
JOURNAL OF APPROXIMATION THEORY, 2013, 167 : 121 - 146

← 1 2 3 4 5 →