Properties of Toeplitz Operators on Some Holomorphic Banach Function Spaces

We characterize complex measures 𝜇 on the unit ball of ℂ𝑛, for which the general Toeplitz operator 𝑇𝛼𝜇 is bounded or compact on the analytic Besov spaces 𝐵𝑝(𝔹𝑛), also on the minimal Möbius invariant Banach spaces 𝐵1(𝔹𝑛) in the unit ball 𝔹𝑛.

Bibliographic Details
Main Authors: Ahmed El-Sayed Ahmed, Mahmoud Ali Bakhit
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/517689