Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (1): 68-79.

• Articles • Previous Articles     Next Articles

The Product of Differentiation and Multiplication Operator from the Mixed-norm to the Bloch-type Space

 YU Yan-Yan, |Liu-Yong-Min*   

  1. School of Mathematics and Physics Science, Xuzhou Institute of Technology, Jiangsu Xuzhou 221111)|Department of Mathematics, Xuzhou Normal University, Jiangsu Xuzhou 221116
  • Received:2010-03-13 Revised:2011-04-28 Online:2012-02-25 Published:2012-02-25
  • Contact: Liu-Yong-Min, minliu@xznu.edu.cn E-mail:minliu@xznu.edu.cn
  • Supported by:

    国家自然科学基金(11171285, 10471039)和江苏省普通高校自然科学研究计划项目(06KJD110175, 07KJB110115)资助

Abstract:

Let H(D) be the space of analytic functions on the unit disk D and uH(D). The boundedness and compactness of the product DMu of differentiation operator and multiplica-tion operator from the mixed norm to the Bloch-type space are investigated in this paper.

Key words: Differentiation operator, Multiplication operator, Mixed norm space, Bloch-type space

CLC Number: 

  • 47B38
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