Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball. (11th March 2015)

• Record Type: Journal Article
• Authors: García, Alma; Vasilevski, Nikolai
• Other Names: Persson Lars E. Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-03-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/306168
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We extend the known results on commutative Banach algebras generated by Toeplitz operators with radial quasi-homogeneous symbols on the two-dimensional unit ball. Spherical coordinates previously used hid a possibility to detect an essentially wider class of symbols that can generate commutative Banach Toeplitz operator algebras. We characterize these new algebras describing their properties and, under a certain extra condition, construct the corresponding Gelfand theory.