发表刊物：New York Journal of Mathematics

关键字：Multiplication operators; Bergman spaces; Von Neumann algebras; Holomorphic proper maps; Local solu

摘要：This paper mainly concerns the von Neumann algebras induced by a tuple of multiplication operators on Bergman spaces which arise essentially from holomorphic proper maps over higher dimensional domains. We study the structures and abelian properties of the related von Neumann algebras, and in interesting cases they turns out to be tightly related to a Riemann manifold. There is a close interplay between operator theory, geometry and complex analysis.

备注：Hansong Huang is from East China University of Science and Technology.

合写作者：Pan Ma, Hansong Huang

论文类型：基础研究

学科门类：数学

卷号：26

页面范围：303-321

是否译文：否

发表时间：2020-03-01