Wavelets convergence and unconditional bases for \(L^p(\mathbb R^n)\) and \(H^1 (\mathbb R^n)\) (Q463281)
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scientific article; zbMATH DE number 6356681
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Wavelets convergence and unconditional bases for \(L^p(\mathbb R^n)\) and \(H^1 (\mathbb R^n)\) |
scientific article; zbMATH DE number 6356681 |
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Wavelets convergence and unconditional bases for \(L^p(\mathbb R^n)\) and \(H^1 (\mathbb R^n)\) (English)
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16 October 2014
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Summary: We prove that reasonable nice wavelets form unconditional bases in function space other than \(L^2(\mathbb R^n, X)\). Moreover, characterization of convergence of wavelets series in \(L^p(\mathbb R^n, X)\) space and Hardy space \(H^1(\mathbb R^n, X)\) has been obtained. Here, \(X\) is a Banach space with boundedness of Riesz transform.
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