Atomic decompositions of Lorentz martingale spaces and applications. (Q841317)
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scientific article; zbMATH DE number 5604135
| Language | Label | Description | Also known as |
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| English | Atomic decompositions of Lorentz martingale spaces and applications. |
scientific article; zbMATH DE number 5604135 |
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Atomic decompositions of Lorentz martingale spaces and applications. (English)
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15 September 2009
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Summary: We present three atomic decomposition theorems of Lorentz martingale spaces. With the help of atomic decomposition we obtain a sufficient condition for sublinear operator defined on Lorentz martingale spaces to be bounded. Using this sufficient condition, we investigate some inequalities on Lorentz martingale spaces.
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atomic decompositions
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martingale inequalities
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Lorentz spaces
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interpolation
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