Non‐Weakly Supercyclic Weighted Composition Operators

• DOI: 10.1155/2010/143808
• Publication Date: 2010-11-02T19:33:05Z
• Authors: Z. Kamali; K. Hedayatian; B. Khani Robati
• Keywords: QA1-939; 0101 mathematics; 01 natural sciences; Mathematics

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.