Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 559-567.doi: 10.1016/S0252-9602(12)60038-1

• Articles • Previous Articles     Next Articles

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).

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

CLC Number: 

  • 47B38
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