单位球上正规权Zygmund空间上的点乘子

数学物理学报 ›› 2018, Vol. 38 ›› Issue (6): 1041-1048.

• 论文 • 下一篇

单位球上正规权Zygmund空间上的点乘子

郭雨婷,尚清丽,张学军*()

湖南师范大学数学与统计学院长沙 410006

收稿日期:2017-09-12 出版日期:2018-12-26 发布日期:2018-12-27
通讯作者: 张学军 E-mail:xuejunttt@263.net
基金资助:
国家自然科学基金(11571104);湖南省重点学科建设项目

The Pointwise Multiplier on the Normal Weight Zygmund Space in the Unit Ball

Yuting Guo,Qingli Shang,Xuejun Zhang*()

College of Mathematics and Statistics, Hunan Normal University, Changsha 410006

Received:2017-09-12 Online:2018-12-26 Published:2018-12-27
Contact: Xuejun Zhang E-mail:xuejunttt@263.net
Supported by:
Supported by the NSFC(11571104);the Construct Program of the Key Discipline in Hunan Province

摘要/Abstract

摘要：

设μ是[0，1）上的一个正规函数，该文刻划了Cⁿ中单位球B上正规权Zygmund空间Z_μ（B）上的点乘子.给出了Z_μ（B）上乘子算子为有界算子或紧算子的充要条件.

关键词: 正规权Zygmund空间, 点乘子, 有界性, 紧性, 单位球

Abstract:

Let μ be a normal function on[0, 1). In this paper, the authors character the pointwise multipliers on the normal weight Zygmund space Z_μ(B) in the unit ball of Cⁿ. The necessary and sufficient conditions for the multiplier operator is bounded or compact are given.

Key words: Normal weight Zygmund space, Pointwise multiplier, Boundedness, Compactness, Unit ball

中图分类号:

O174.56

郭雨婷,尚清丽,张学军. 单位球上正规权Zygmund空间上的点乘子[J]. 数学物理学报, 2018, 38(6): 1041-1048.

Yuting Guo,Qingli Shang,Xuejun Zhang. The Pointwise Multiplier on the Normal Weight Zygmund Space in the Unit Ball[J]. Acta mathematica scientia,Series A, 2018, 38(6): 1041-1048.

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单位球上正规权Zygmund空间上的点乘子

The Pointwise Multiplier on the Normal Weight Zygmund Space in the Unit Ball

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