文献类型：期刊文献

英文题名：Multiplication operators on the Bergman spaces of polygons

作者：Huang, Hansong[1];Zheng, Dechao[2,3]

机构：[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

年份：2017

卷号：456

期号：2

起止页码：1049

外文期刊名：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000409565300020)】；

基金：This work is partially supported by NSFC (11271387, 11531003, 11471113, 11571064), Chongqing Natural Science Foundation (cstc 2013jjB0050), Simons Foundation Grant #196300 and CSC (201406745016), and by Shanghai Center for Mathematical Sciences (11CG30). The first author thanks the Department of Mathematics, Vanderbilt University for hospitality during his visit.

语种：英文

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

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.