Mixed norm estimates for some averaging operators in \(\mathbb R^2\) (Q868754)
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scientific article; zbMATH DE number 5129584
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed norm estimates for some averaging operators in \(\mathbb R^2\) |
scientific article; zbMATH DE number 5129584 |
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Mixed norm estimates for some averaging operators in \(\mathbb R^2\) (English)
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26 February 2007
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We obtain mixed norm estimates for averaging operators on \(\mathbb{R}^2\) defined by convolution with \(\mu\), where either \(\mu\) is arclength measure on certain curves in \(\mathbb{R}^2\) or \(d\mu = dx/x^\beta\) on the positive \(x\)-axis.
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