数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (3): 339-349.

• 论文 • 上一篇    下一篇

CONTINUITY FOR MAXIMAL COMMUTATORS OF BOCHNER-RIESZ OPERATORS WITH BMO FUNCTIONS

 江寅生, 唐林, 杨大春   

  1. Department of Mathematics, Xinjiang University, Urumqi 830046, China Department of Mathematics, Beijing Normal University, Beijing 100875, China
  • 出版日期:2001-07-06 发布日期:2001-07-06
  • 基金资助:

    Tang Lin and Yang Dachun are supported in part by the NNSF and the SEDF of China.

CONTINUITY FOR MAXIMAL COMMUTATORS OF BOCHNER-RIESZ OPERATORS WITH BMO FUNCTIONS

 JIANG Yin-Sheng, TANG Lin, YANG Da-Chun   

  1. Department of Mathematics, Xinjiang University, Urumqi 830046, China Department of Mathematics, Beijing Normal University, Beijing 100875, China
  • Online:2001-07-06 Published:2001-07-06
  • Supported by:

    Tang Lin and Yang Dachun are supported in part by the NNSF and the SEDF of China.

摘要:

Let p 2 (n/(n + 1), 1]. The authors investigate the (Hp b (Rn),Lp(Rn))-type and (Hp,1 b (Rn),Lp,1(Rn))-type continuities for the maximal operators associated with the commutators of Bochner-Riesz operators with BMO(Rn) functions, where Hp b (Rn) and Hp,1 b (Rn) are, respectively, the variants of the standard Hardy spaces and the standard weak Hardy spaces.

关键词: Bochner-Riesz operator, BMO(Rn), commutator, maximal operator, Hardy space and weak Hardy space

Abstract:

Let p 2 (n/(n + 1), 1]. The authors investigate the (Hp b (Rn),Lp(Rn))-type and (Hp,1 b (Rn),Lp,1(Rn))-type continuities for the maximal operators associated with the commutators of Bochner-Riesz operators with BMO(Rn) functions, where Hp b (Rn) and Hp,1 b (Rn) are, respectively, the variants of the standard Hardy spaces and the standard weak Hardy spaces.

Key words: Bochner-Riesz operator, BMO(Rn), commutator, maximal operator, Hardy space and weak Hardy space

中图分类号: 

  • 42B25