Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (1): 188-195.

• Articles • Previous Articles     Next Articles

Weighted Cesàro Operators on Zygmund Type Spaces on the Unit Ball

 ZHANG Jin-Fang, XU Hui-Ming**   

  1. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Zhejiang Jinhua |321004
  • Received:2008-09-30 Revised:2010-03-10 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    国家自然科学基金(10771064) 和浙江省自然科学基金(D7080080, Y6090694)资助

Abstract:

In this paper, the authors discuss the boundedness and compactness of the weighted Cesàro operators Tg between the Zygmund type spaces in the unit ball of Cn.  It is obtained that: (1) the sufficient and necessary condition for Tg to be bounded or compact operator from Zp to Zq; (2) the sufficient and necessary condition for Tg to be bounded or compact operator from Zp0 to Zq0.

Key words: Zygmund type spaces, Weighted Cesàro operator, Boundedness, Compactness

CLC Number: 

  • 47B38
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