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.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/517689 |
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| Summary: | 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. |
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| ISSN: | 0972-6802 1758-4965 |