Abstract and Applied Analysis
Volume 2010 (2010), Article ID 143808, 14 pages
doi:10.1155/2010/143808
Research Article

Non-Weakly Supercyclic Weighted Composition Operators

Z. Kamali, K. Hedayatian, and B. Khani Robati

Department of Mathematics, College of Sciences, Shiraz University, Shiraz 71454, Iran

Received 11 July 2010; Accepted 11 October 2010

Academic Editor: Jean Pierre Gossez

Copyright © 2010 Z. Kamali et al. 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

We give sufficient conditions under which a weighted composition operator on a Hilbert space of analytic functions is not weakly supercyclic. Also, we give some necessary and sufficient conditions for hypercyclicity and supercyclicity of weighted composition operators on the space of analytic functions on the open unit disc.