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An atomic decomposition of the predual of BMO(\(\rho\) ) - MaRDI portal

An atomic decomposition of the predual of BMO(\(\rho\) ) (Q1116047)

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scientific article; zbMATH DE number 4088275
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An atomic decomposition of the predual of BMO(\(\rho\) )
scientific article; zbMATH DE number 4088275

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    An atomic decomposition of the predual of BMO(\(\rho\) ) (English)
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    1987
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    We study the Orlicz type spaces \(H_{\omega}\), defined as a generalization of the Hardy spaces \(H^ p\) for \(p\leq 1\). We obtain an atomic decomposition of \(H_{\omega}\), which is used to provide another proof of the known fact that BMO(\(\rho)\) is the dual space of \(H_{\omega}\) [see \textit{S. Janson}, Duke Math. J. 47, 959-982 (1980; Zbl 0453.46027)].
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    Orlicz type spaces
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    Hardy spaces
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    atomic decomposition
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