Some characterizations of complex Banach space having AUMD property (Q2779111)
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scientific article; zbMATH DE number 1723962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some characterizations of complex Banach space having AUMD property |
scientific article; zbMATH DE number 1723962 |
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20 October 2003
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analytic martingale
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AUMD property
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Some characterizations of complex Banach space having AUMD property (English)
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A complex Banach space \(X\) has the AUMD property if there is a \(C>0\) such that \(\|G\|_1\leq C\|F\|_1\) where \(F\in A(X)\), \(V_n=\pm 1\) and \(G\) is the transform of \(F\) by \(V\). Some characterizations of \(X\) having the AUMD property are given by using inequalities of analytic martingales.
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