数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (2): 559-567.doi: 10.1016/S0252-9602(12)60038-1

• 论文 • 上一篇    下一篇

EXTENDED CESÀRO OPERATORS AND MULTIPLIERS ON BMOA

吕小芬   

  1. College of Mathematical and Sciences, Xiamen University, Xiamen 361005, China
  • 收稿日期:2009-08-22 修回日期:2010-10-25 出版日期:2012-03-20 发布日期:2012-03-20
  • 基金资助:

    This research is partially supported by the National Natural Science Foundation of China (10771064, 11101139), Natural Science Foundation of Zhejiang province (Y7080197, Y6090036, Y6100219), and Foundation of Creative Group in Universities of Zhejiang Province
    (T200924).

EXTENDED CESÀRO OPERATORS AND MULTIPLIERS ON BMOA

 LV Xiao-Fen   

  1. College of Mathematical and Sciences, Xiamen University, Xiamen 361005, China
  • Received:2009-08-22 Revised:2010-10-25 Online:2012-03-20 Published:2012-03-20
  • Supported by:

    This research is partially supported by the National Natural Science Foundation of China (10771064, 11101139), Natural Science Foundation of Zhejiang province (Y7080197, Y6090036, Y6100219), and Foundation of Creative Group in Universities of Zhejiang Province
    (T200924).

摘要:

In this article, we characterize the boundedness and compactness of extended Cesàro operators on the spaces BMOA by the Carleson measures in the unit ball. Mean-while, we study the pointwise multipliers on BMOA.

关键词: Extended Cesàro operator, multiplier, Carleson measure, BMOA

Abstract:

In this article, we characterize the boundedness and compactness of extended Cesàro operators on the spaces BMOA by the Carleson measures in the unit ball. Mean-while, we study the pointwise multipliers on BMOA.

Key words: Extended Cesàro operator, multiplier, Carleson measure, BMOA

中图分类号: 

  • 47B38