| 黎深莲,张学军,徐思.Cn中F(p,q,s)型空间上的 Bergman型算子[J].数学年刊A辑,2017,38(4):375~390 |
| Cn中F(p,q,s)型空间上的 Bergman型算子 |
| The Bergman Type Operators on the F(p,q,s) Type Spaces in Cn |
| Received:January 05, 2016 Revised:September 14, 2016 |
| DOI：10.16205/j.cnki.cama.2017.0031 |
| 中文关键词: Bergman typeoperators, $F(p,q,s)$ space, Unit ball, $A(p,q,s)$ space |
| 英文关键词:Bergman typeoperators, $F(p,q,s)$ space, Unit ball, $A(p,q,s)$ space |
| 基金项目:本文受到国家自然科学基金(No.11571104)和湖南省自然科学基金(No.2015JJ2095)的资助. |
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| 中文摘要: |
| 设 $p>0$,
$s\geq 0$, $q+s>-1$, $q+n>-1$. 讨论了{\bf C$^n$}中单位球上$F(p,q,s)$到本身或$A(p,q,s)$空间
到$L(p,q,s)$空间上的Bergman型算子的有界性条件. |
| 英文摘要: |
| \ \ Let $p>0$, $s\geq 0$, $q+s>-1$, $q+n>-1$. In
the paper, the conditions of boundedness for the Bergman type
operators on $F(p,q,s)$ space or from $A(p,q,s)$ space to
$L(p,q,s)$ space are discussed on the unit ball in {\bf C$^n$}. |
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