数学物理学报 ›› 2009, Vol. 29 ›› Issue (3): 573-583.

• 论文 • 上一篇    下一篇

Cn中单位球上&mu|-Bloch空间之间的加权复合算子

  

  1. (湖南师范大学数学与计算机科学学院  长沙 410081)
  • 收稿日期:2007-06-21 修回日期:2009-03-09 出版日期:2009-06-25 发布日期:2009-06-25
  • 基金资助:

    湖南省自然科学基金(06JJ50010)资助

Weighted Composition Operators Between &mu|-Bloch Spaces on the Unit Ball of Cn

  1. (College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081)
  • Received:2007-06-21 Revised:2009-03-09 Online:2009-06-25 Published:2009-06-25
  • Supported by:

    湖南省自然科学基金(06JJ50010)资助

摘要:

μ ν 是[0,1)上两个正规函数, 该文给出了Cn(n>1)中单位球上Bloch型空间βμ βν 之加权复合算子Tψ,φ为有界算子和紧算子的充要条件.

关键词: &mu, -Bloch空间, 加权复合算子, 有界性, 紧性

Abstract:

Let μ and ν be two normal functions on [0,1). In this paper, the necessary and sufficient conditions are given for the weighted composition
 operator Tψ,φ to be bounded (or compact) from  Bloch type spaces  βμ to βν on the unit ball B of Cn (n>1).

Key words: &mu, -Bloch space,  , Weighted composition operator, Boundedness, Compactness

中图分类号: 

  • 47B38