Multiplication operators on the Bergman spaces of polygons

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:456

Article

Huang, Hansong¹  Zheng, Dechao^2,3 

[1] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

[2] Chongqing Univ, Ctr Math, Chongqing 401331, Peoples R China

[3] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA

关键词: Bergman space;    Local inverse;    Polygon;    Multiplication operator;   

DOI  :  10.1016/j.jmaa.2017.07.026

来源: Elsevier

【 摘 要 】

In this paper, we will show that multiplication operators on the Bergman space of a polygon and some von Neumann algebras induced by these operators have deep connections with the geometry of the polygon. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free