COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR

doi:10.1016/S0252-9602(17)30079-6

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (5): 1373-1384.doi: 10.1016/S0252-9602(17)30079-6

COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR

卜瑞¹, 陈杰诚², 胡国恩³

1. Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, China;
2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;
3. Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China

收稿日期:2016-02-21 修回日期:2016-10-30 出版日期:2017-10-25 发布日期:2017-10-25
通讯作者: Guoen HU,E-mail:guoenxx@163.com E-mail:guoenxx@163.com
作者简介:Rui BU,E-mail:burui0@163.com;Jiecheng CHEN,E-mail:jcchen@zjnu.edu.cn
基金资助:
The research of Bu was supported by the NNSF of China (11571306), and the research of Chen was supported by the NNSF of China (11271330 and 11671363), and the research of Hu was supported by the NNSF of China (11371370).

COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR

Rui BU¹, Jiecheng CHEN², Guoen HU³

1. Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, China;
2. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China;
3. Department of Applied Mathematics, Zhengzhou Information Science and Technology Institute, Zhengzhou 450002, China

Received:2016-02-21 Revised:2016-10-30 Online:2017-10-25 Published:2017-10-25
Contact: Guoen HU,E-mail:guoenxx@163.com E-mail:guoenxx@163.com
Supported by:
The research of Bu was supported by the NNSF of China (11571306), and the research of Chen was supported by the NNSF of China (11271330 and 11671363), and the research of Hu was supported by the NNSF of China (11371370).

摘要/Abstract

摘要：

Let α ∈ (0,(n-1)/2) and T^α be the Bochner-Riesz operator of order α.In this paper,for n=2 and n ≥ 3,the compactness on Lebesgue spaces and Morrey spaces are considered for the commutator of Bochner-Riesz operator generated by CMO (Rⁿ) function and Tα.

关键词: Bochner-Riesz operator, commutator, compact operator, Fourier transform estimate

Abstract:

Key words: Bochner-Riesz operator, commutator, compact operator, Fourier transform estimate

卜瑞, 陈杰诚, 胡国恩. COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR[J]. 数学物理学报(英文版), 2017, 37(5): 1373-1384.

Rui BU, Jiecheng CHEN, Guoen HU. COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR[J]. Acta mathematica scientia,Series B, 2017, 37(5): 1373-1384.

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COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR

COMPACTNESS FOR THE COMMUTATOR OF BOCHNER-RIESZ OPERATOR

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