General form of linear functionals on Hardy spaces (Q1431393)
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scientific article; zbMATH DE number 2070747
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General form of linear functionals on Hardy spaces |
scientific article; zbMATH DE number 2070747 |
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General form of linear functionals on Hardy spaces (English)
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8 June 2004
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It is proved that the dual space of the martingale Hardy space \({\mathcal H}_\Phi\) is \({\mathcal K}_\Psi\), where the Young function \(\Phi\) has finite power and its conjugate function \(\Psi\) is of the form \(\Psi(x)=\Psi_1(x^2)\) with \(\Psi_1\) being also a Young function.
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Hardy spaces
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Young function
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Orlicz spaces
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