Some weighted estimates for Littlewood--Paley functions and radial multipliers. (Q1874552)
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scientific article; zbMATH DE number 1915711
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some weighted estimates for Littlewood--Paley functions and radial multipliers. |
scientific article; zbMATH DE number 1915711 |
Statements
Some weighted estimates for Littlewood--Paley functions and radial multipliers. (English)
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25 May 2003
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In the paper are considered certain Littlewood-Paley operators obtained by replacing the Euclidean norm \(| \xi| \) by some smooth function \(\rho(\xi)\). The author proves some weighted estimates for such Littlewood-Paley operators on weighted Hardy spaces \(H_w^p\) \((0<p\leq1)\) and on weighted \(L_w^p\) spaces. He also obtains some weighted estimates for the Bochner-Riesz operators and the spherical means.
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Littlewood-Paley function
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Bochner-Riesz means
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spherical means
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weighted Hardy space
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