从混合模空间到Bloch -型空间微分算子与乘子的积

摘要/Abstract

摘要：

设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DM_u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

于燕燕, 刘永民. 从混合模空间到Bloch -型空间微分算子与乘子的积[J]. 数学物理学报, 2015, 35(2): 68-79.

YU Yan-Yan, LIU Yong-Min.

The Product of Differentiation and Multiplication Operator from the Mixed-norm to the Bloch-type Space[J]. Acta mathematica scientia,Series A, 2015, 35(2): 68-79.

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