中山大学学报（自然科学版）（中英文）2025，Vol.64Issue(2)：160-169,10.DOI:10.13471/j.cnki.acta.snus.ZR20240184
单位球上加权Bergman空间上乘法、复合与微分算子的乘积
Products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball
摘要
Abstract
The boundness and compactness of products of multiplication,composition and differentiation on weighted Bergman spaces in the unit ball are studied.We define the differentiation operator on the space of holomorphic functions in the unit ball by radial derivative.Then we extend the Sharma's results.关键词
复合算子/乘法算子/微分算子/加权Bergman空间Key words
composition operator/multiplication operator/differentiation operator/weighted Bergman space分类
数理科学引用本文复制引用
张超,覃跃海..单位球上加权Bergman空间上乘法、复合与微分算子的乘积[J].中山大学学报（自然科学版）（中英文）,2025,64(2):160-169,10.基金项目
Supported by Natural Science Foundation of Guangdong Province in China(2018KTSCX161) （2018KTSCX161）
