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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