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*()   

  1. 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*()   

  1. 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:

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ZμB)上的点乘子.给出了ZμB)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 Zμ(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