On the atomic decomposition for Hardy spaces (Q1057442)
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scientific article; zbMATH DE number 3897552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the atomic decomposition for Hardy spaces |
scientific article; zbMATH DE number 3897552 |
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On the atomic decomposition for Hardy spaces (English)
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1985
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The author gives a new proof of the atomic decomposition for distributions in \(H^ p({\mathbb{R}}_+^{n+1})\), \(0<p\leq 1\). The proof uses only properties of the nontangential maximal function \(u^*\) and is adapted to give a proof of the Chang-Fefferman decomposition for \(H^ p({\mathbb{R}}^ 2_+\times {\mathbb{R}}^ 2_+)\).
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atomic decomposition
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nontangential maximal function
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Chang-Fefferman decomposition
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