Abstract and Applied Analysis
Volume 2009 (2009), Article ID 757964, 8 pages
doi:10.1155/2009/757964
Research Article

The Numerical Range of Toeplitz Operator on the Polydisk

Dinggui Gu

Department of Mathematics, JiaYing University, Meizhou 514015, GuangDong, China

Received 22 May 2009; Accepted 1 July 2009

Academic Editor: Stevo Stević

Copyright © 2009 Dinggui Gu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The numerical range and normality of Toeplitz operator acting on the Bergman space and pluriharmonic Bergman space on the polydisk is investigated in this paper.