数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1367-1376.doi: 10.1016/S0252-9602(11)60323-8

• 论文 • 上一篇    下一篇

ON COMPACT COMPOSITION OPERATORS ON A CLASS OF HOLOMORPHIC FUNCTION SPACES OVER THE UNIT BALL IN Cn

龙素娟   

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China
  • 收稿日期:2009-10-16 出版日期:2011-07-20 发布日期:2011-07-20

ON COMPACT COMPOSITION OPERATORS ON A CLASS OF HOLOMORPHIC FUNCTION SPACES OVER THE UNIT BALL IN Cn

 LONG Su-Juan   

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007, China
  • Received:2009-10-16 Online:2011-07-20 Published:2011-07-20

摘要:

In this paper, a general function space X(Bn) over the unit ball in Cn with norm k · kX(Bn) is introduced. It contains all Hardy space, Bergman space, Besov space etc. The author gives a formulation of a compact composition operator on X(Bn), related to works of [8] and [10].

关键词: compactness, composition operator, function spaces

Abstract:

In this paper, a general function space X(Bn) over the unit ball in Cn with norm k · kX(Bn) is introduced. It contains all Hardy space, Bergman space, Besov space etc. The author gives a formulation of a compact composition operator on X(Bn), related to works of [8] and [10].

Key words: compactness, composition operator, function spaces

中图分类号: 

  • 47B33