On linear means of multiple Fourier integrals defined by special domains. (Q1414959)
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scientific article; zbMATH DE number 2012042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On linear means of multiple Fourier integrals defined by special domains. |
scientific article; zbMATH DE number 2012042 |
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On linear means of multiple Fourier integrals defined by special domains. (English)
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3 December 2003
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The authors study a variant of the Bochner-Riesz means of Fourier integrals in which the unit ball in \({\mathbb R}^n\) is replaced with a convex domain \(D\) whose boundary is smooth and has non-vanishing principal curvatures. They consider the means above the critical order \((n-1)/2\) and obtain estimates in weighted \(L^p\) spaces.
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Bochner-Riesz means
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Hardy-Littlewood maximal function
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