A Note on Reducing Subspaces of Toeplitz Operator on the Weighted Analytic Function Spaces of the Bidisk Hw2D2. (7th May 2017)

• Record Type: Journal Article
• Authors: Lin, Hongzhao
• Other Names: Curto Raúl E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2017(2017)
• Publication Date: 2017-05-07
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2017/5807909
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We discussed the reducing subspaces of Toeplitz operators T z 1 N z 2 M N ≠ M on the weighted analytic function spaces of bidisk H w 2 ( D 2 ) . The result shows that if the weight w is of type-I, the structure of reducing subspaces of T z 1 N z 2 M N ≠ M on H w 2 D 2 is very simple.