An improved Hardy's inequality associated with the Laguerre Fourier transform (Q1956289)
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scientific article; zbMATH DE number 6175269
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An improved Hardy's inequality associated with the Laguerre Fourier transform |
scientific article; zbMATH DE number 6175269 |
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An improved Hardy's inequality associated with the Laguerre Fourier transform (English)
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13 June 2013
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The authors derive Hardy inequalities for functions in the Hardy space \(H^p(K)\) for \(0<p\leq 1\) and for the Laguerre hypergroups on \(K:=[0,\infty[\times\mathbb R\) depending on the index \(\alpha\) of the hypergroups. These examples include certain orbit hypergroups associated with Heisenberg groups.
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Hardy space
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atomic decomposition
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Hardy's type inequality
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Laguerre Fourier transform
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Laguerre hypergroup
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