微分算子, 乘子, 混合模空间, Bloch-型空间," /> 微分算子, 乘子, 混合模空间, Bloch-型空间,"/> Differentiation operator, Multiplication operator, Mixed norm space, Bloch-type space,"/> <span>从混合模空间到<span lang="EN-US">Bloch -</span>型空间微分算子与乘子的积</span>

数学物理学报 ›› 2015, Vol. 35 ›› Issue (2): 68-79.

• 论文 •    下一篇

从混合模空间到Bloch -型空间微分算子与乘子的积

于燕燕1, 刘永民2*   

  1. 1.徐州工程学院数学与物理科学学院 江苏 徐州 221111;2.徐州师范大学数学科学学院 江苏 徐州 221116
  • 收稿日期:2010-03-13 修回日期:2011-04-28 出版日期:2015-04-25 发布日期:2015-04-25
  • 通讯作者: 刘永民,minliu@xznu.edu.cn E-mail:minliu@xznu.edu.cn
  • 基金资助:

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

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

 YU Yan-Yan1, LIU Yong-Min2*   

  1. 1.School of Mathematics and Physics Science,Xuzhou Institute of Technology,Jiangsu Xuzhou 221111 2.Department of Mathematics,Xuzhou Normal University, Jiangsu Xuzhou 221116
  • Received:2010-03-13 Revised:2011-04-28 Online:2015-04-25 Published:2015-04-25
  • 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)江苏省普通高校自然科学研究计划项目(06KJD110175,07KJB110115)资助

摘要:

H(\rm{\Bbb D})$ 表示单位圆盘 ${\rm {\Bbb D}}$上的解析函数空间,u \in H(\rm {\Bbb D}). 该文研究了从混合模空间到Bloch-型空间微分算子与乘子的积DMu的有界性与紧性.

关键词: font-size: 10.5pt, mso-bidi-font-family: 宋体, mso-ansi-language: EN-US, mso-fareast-language: ZH-CN, 微分算子')">mso-bidi-language: AR-SA">微分算子, 乘子')"> 乘子, 混合模空间')"> 混合模空间, Bloch-型空间')"> Bloch-型空间

Abstract:

Let H(\rm {\Bbb D})$ be the space of analytic functions on the unit disk ${\rm {\Bbb D}}$ and $u \in H(\rm {\Bbb D})$.The boundedness and compactness of the  product $DM_u$ of differentiation operator and multiplication operator from the mixed norm to the Bloch-type space are investigated in this paper.

Key words: font-size: 10.5pt, mso-bidi-font-family: 宋体, mso-ansi-language: EN-US, mso-fareast-language: ZH-CN, Differentiation operator')">mso-bidi-language: AR-SA" lang="EN-US">Differentiation operator, Multiplication operator, Mixed norm space')"> Mixed norm space, font-size: 10.5pt, mso-bidi-font-family: 宋体, mso-hansi-font-family: 宋体, mso-ansi-language: EN-US, mso-fareast-language: ZH-CN, mso-bidi-language: AR-SA, mso-bidi-font-size: 11.0pt, mso-ascii-theme-font: minor-latin, mso-fareast-font-family: 宋体, mso-fareast-theme-font: minor-fareast" lang="EN-US"> font-size: 10.5pt, mso-bidi-font-family: 宋体, mso-ansi-language: EN-US, mso-fareast-language: ZH-CN, Bloch-type space')">mso-bidi-language: AR-SA" lang="EN-US">Bloch-type space

中图分类号: 

  • 47B38