文献类型：期刊文献

英文题名：Multiplication operators defined by twisted proper holomorphic maps on Bergman spaces

作者：Huang, Hansong[1];Ma, Pan[2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

年份：2020

卷号：26

起止页码：303

外文期刊名：NEW YORK JOURNAL OF MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000519301000001)】；

语种：英文

外文关键词：Bergman spaces; multiplication operators; von Neumann algebras; proper holomorphic maps; local solutions

摘要：The paper studies the structure and commutative properties of von Neumann algebras induced by multiplication operators on the Bergman space of a bounded domain in the complex space C-d. We show that there is a close interplay between operator theory, geometry, and function theory.