数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (3): 1013-1020.doi: 10.1016/S0252-9602(10)60098-7

• 论文 • 上一篇    

COMPOSITION OPERATORS FROM p-BLOCH SPACES TO LITTLE q-BLOCH SPACES |ON THE UNIT BALL OF Cn

李俊锋   

  1. Department of Mathematics and |Computer Science, Hunan City University, Yiyang 413000, China
  • 收稿日期:2009-05-21 修回日期:2009-09-05 出版日期:2010-05-20 发布日期:2010-05-20

COMPOSITION OPERATORS FROM p-BLOCH SPACES TO LITTLE q-BLOCH SPACES |ON THE UNIT BALL OF Cn

 LI Jun-Feng   

  1. Department of Mathematics and |Computer Science, Hunan City University, Yiyang 413000, China
  • Received:2009-05-21 Revised:2009-09-05 Online:2010-05-20 Published:2010-05-20

摘要:

For all 0<p, q<∞,  let Cφ denote the composition operator from q-Bloch  spaces βp to  little p-Bloch  spaces β0q on the unit ball of Cn. In this article,  necessary and sufficient conditions for Cφ to be a bounded or compact operator are given.

关键词: Bloch type space, boundedness, compactness, composition

Abstract:

For all 0<p, q<∞,  let Cφ denote the composition operator from q-Bloch  spaces βp to  little p-Bloch  spaces β0q on the unit ball of Cn. In this article,  necessary and sufficient conditions for Cφ to be a bounded or compact operator are given.

Key words: Bloch type space, boundedness, compactness, composition

中图分类号: 

  • 47B38