算子," /> 算子,"/> operator,"/> Generalized Cesaro Operator Between Different Dirichlet-type Spaces in the Unit Ball of |C<sup>n</sup>  

Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 182-193.

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Generalized Cesaro Operator Between Different Dirichlet-type Spaces in the Unit Ball of |Cn  

 LIU Jing-Cheng1, LI Jun-Feng2, ZHANG Xua-Jun1   

  1. 1. College of Mathematics and Computer Science, Key Laboratory of High Performance Computing and Stochastic Information Processing , Hunan Normal University, Changsha 410081 2. Department of Mathematics and Computer Science, Hunan City University,Yiyang |431000
  • Received:2013-11-08 Revised:2014-10-26 Online:2015-02-25 Published:2015-02-25

Abstract:

In this paper, we study the generalized operator between different  Dirichlet type spaces. For  or  ,  we provide sufficient and necessary conditons for  to be bounded or compact.  Moreover, for other p, we also discuss the sufficient  conditions or the necessary conditons forto  be bounded or compact.

Key words: Dirichlet type spaces ,  Boundedness ,  Compactness , operator')"> Generalized operator

CLC Number: 

  • 47B38
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