再谈单位球上正规权Zygmund空间上的点乘子

数学物理学报 ›› 2021, Vol. 41 ›› Issue (6): 1616-1624.

再谈单位球上正规权Zygmund空间上的点乘子

谭梅娟,黄莹,张学军*()

^{湖南师范大学数学与统计学院长沙 410006}

收稿日期:2021-01-16 出版日期:2021-12-26 发布日期:2021-12-02
通讯作者: 张学军 E-mail:xuejunttt@263.net
基金资助:
国家自然科学基金(11942109);湖南省重点学科建设项目

Another Discussion on the Pointwise Multiplier on the Normal Weight Zygmund Space in the Unit Ball

Meijuan Tan,Ying Huang,Xuejun Zhang*()

^{College of Mathematics and Statistics, Hunan Normal University, Changsha 410006}

Received:2021-01-16 Online:2021-12-26 Published:2021-12-02
Contact: Xuejun Zhang E-mail:xuejunttt@263.net
Supported by:
the NSFC(11942109);the Construct Program of the Key Discipline in Hunan Province

摘要/Abstract

摘要：

设$\mu$是$[0, 1)$上的一个正规函数, 该文讨论了${{\bf C}}^{n}$中单位球$B$上正规权Zygmund空间${\cal Z}_{\mu}(B)$到自身乘子算子的有界性条件中三个条件之间的依赖关系.

关键词: 正规权Zygmund空间, 点乘子, 依赖关系, 单位球

Abstract:

Let $\mu$ be a normal function on $[0, 1)$. In this paper, the dependencies among the three conditions for which the multiplier operator is bounded on the normal weight Zygmund space ${\cal Z}_{\mu}(B)$ in the unit ball $B$ of ${{\bf C}}^{n}$ are discussed.

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

中图分类号:

O174.56

谭梅娟,黄莹,张学军. 再谈单位球上正规权Zygmund空间上的点乘子[J]. 数学物理学报, 2021, 41(6): 1616-1624.

Meijuan Tan,Ying Huang,Xuejun Zhang. Another Discussion on the Pointwise Multiplier on the Normal Weight Zygmund Space in the Unit Ball[J]. Acta mathematica scientia,Series A, 2021, 41(6): 1616-1624.

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