Besov spaces on bounded symmetric domains (Q2757724)
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scientific article; zbMATH DE number 1677974
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Besov spaces on bounded symmetric domains |
scientific article; zbMATH DE number 1677974 |
Statements
28 November 2001
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holomorphic Besov space
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Bloch space
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Besov spaces on bounded symmetric domains (English)
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The author proves that the dual to the holomorphic Besov space \(B^p\), \(0 < p < 1\) on a bounded symmetric domain is the Bloch space \({\mathcal B}^\infty\), under a pairing \((f, g) = \int_\Omega E_{m,\alpha}f, \overline{E_{m, \alpha}g} d\tau\), where \(d\tau\) is the Möbius invariant measure on \(\Omega\) and \(E_{m,\alpha}\) are explicitly given linear operators which, as the author proves elsewhere, embed \(B^p\) into \(L^{1,p}(\Omega)\) as a complemented subspace.
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