Distances from Bloch functions to some Möbius invariant function spaces in the unit ball of \(\mathbb{C}^n\) (Q1022916)
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scientific article; zbMATH DE number 5568060
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distances from Bloch functions to some Möbius invariant function spaces in the unit ball of \(\mathbb{C}^n\) |
scientific article; zbMATH DE number 5568060 |
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Distances from Bloch functions to some Möbius invariant function spaces in the unit ball of \(\mathbb{C}^n\) (English)
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23 June 2009
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Using the integral estimation and a Carleson type measure, the author establishes distance formulae of Bloch functions to some M\(\ddot{\mathrm{o}}\)bius invariant function spaces in the unit ball of \(\mathbb{C}^n\) such as \(Q_s\) spaces, little Bloch space \(\mathcal{B}_0\) and Besov spaces \(B_p\). Also, some characterizations of the little Bloch space \(\mathcal{B}_0\) are given by means of these results.
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Bloch function
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Möbius invariant function space
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\(Q_s\) space
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Besov space
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0.9293275
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0.90712106
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0.89726794
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0.89063936
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0.89037126
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0.88973516
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0.8896559
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