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

 Author Name Affiliation E-mail LI Shenlian College of Mathematics and ComputerScience, Hunan Normal University, Changsha 410006, China. 201710100077@smail.hunnu.edu.cn ZHANG Xuejun Corresponding author. College of Mathematics and ComputerScience, Hunan Normal University, Changsha 410006, China. xuejunttt@263.net XU Si College of Mathematics and ComputerScience, Hunan Normal University, Changsha 410006, China. 372613910@qq.com
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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.
\ \ 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$^n$}.