The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis (Q1039459)
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scientific article; zbMATH DE number 5640363
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis |
scientific article; zbMATH DE number 5640363 |
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The Haar wavelet characterization of weighted Herz spaces and greediness of the Haar wavelet basis (English)
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30 November 2009
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The authors study the class of dyadic \(A_p\)-weights in connection with dyadic maximal operators (where in both cases on considers dyadic cubes only) and show that one obtains results corresponding to the ones one gets for the usual \(A_p\)-weights and maximal operators. Weighted Herz spaces are introduced and it is shown that the Haar wavelets form an unconditional basis which is greedy if and only if the Herz space is a weighted \(L^p\) space.
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Haar wavelet
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weights
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Herz spaces
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greedy basis
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