Conjectures and problems on Bochner-Riesz means

被引:0
|
作者
Shanzhen Lu
机构
[1] Beijing Normal University,School of Mathematical Sciences
来源
关键词
Bochner-Riesz means; Fourier series; Fourier integral; norm convergence; almost everywhere convergence; 42B05; 42B08; 42B10; 42B99;
D O I
暂无
中图分类号
学科分类号
摘要
The aim of this paper is to state some conjectures and problems on Bochner-Riesz means in multiple Fourier series and integrals. The progress on these conjectures and problems are also mentioned.
引用
收藏
页码:1237 / 1251
页数:14
相关论文
共 50 条
  • [41] ON THE LOCALIZATION AND CONVERGENCE OF MULTIPLE FOURIER INTEGRAL BY BOCHNER-RIESZ MEANS
    Yu Maohe Kunming Hydropower Scientific Research Institute
    Approximation Theory and its Applications, 1993, (02) : 37 - 49
  • [42] Maximal operators of commutators of Bochner-Riesz means with Lipschitz functions
    Gong, Shuli
    Ma, Bolin
    FRONTIERS OF MATHEMATICS IN CHINA, 2011, 6 (03) : 427 - 447
  • [43] APPROXIMATION PROPERTIES OF BOCHNER-RIESZ MEANS BELOW THE CRITICAL INDEX
    WANG, SM
    CHINESE SCIENCE BULLETIN, 1993, 38 (08): : 628 - 630
  • [45] BOCHNER-RIESZ MEANS OF FUNCTIONS IN WEAK-L(P)
    COLZANI, L
    TRAVAGLINI, G
    VIGNATI, M
    MONATSHEFTE FUR MATHEMATIK, 1993, 115 (1-2): : 35 - 45
  • [46] Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index
    K. Jotsaroop
    Saurabh Shrivastava
    Kalachand Shuin
    Potential Analysis, 2021, 55 : 603 - 617
  • [47] WEYL MULTIPLIERS, BOCHNER-RIESZ MEANS AND SPECIAL HERMITE EXPANSIONS
    THANGAVELU, S
    ARKIV FOR MATEMATIK, 1991, 29 (02): : 307 - 321
  • [48] Maximal operators of commutators of Bochner-Riesz means with Lipschitz functions
    Shuli Gong
    Bolin Ma
    Frontiers of Mathematics in China, 2011, 6 : 427 - 447
  • [49] Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index
    Jotsaroop, K.
    Shrivastava, Saurabh
    Shuin, Kalachand
    POTENTIAL ANALYSIS, 2021, 55 (04) : 603 - 617
  • [50] THE BILINEAR BOCHNER-RIESZ PROBLEM
    Bernicot, Frederic
    Grafakos, Loukas
    Song, Liang
    Yan, Lixin
    JOURNAL D ANALYSE MATHEMATIQUE, 2015, 127 : 179 - 217