Multiplication operators defined by twisted holomorphic proper maps on Bergman spaces,

Release time:2017-07-21

Journal:New York Journal of Mathematics

Key Words:Multiplication operators; Bergman spaces; Von Neumann algebras; Holomorphic proper maps; Local solu

Abstract: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.

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

Co-author:Pan Ma, Hansong Huang

Indexed by:Unit Twenty Basic Research

Discipline:数学

Volume:26

Page Number:303-321

Translation or Not:no

Date of Publication:2020-03-01