Maximal function estimates for the parabolic mean value kernel (Q949078)
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scientific article; zbMATH DE number 5353925
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal function estimates for the parabolic mean value kernel |
scientific article; zbMATH DE number 5353925 |
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Maximal function estimates for the parabolic mean value kernel (English)
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20 October 2008
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A one-sided maximal function estimates for nonisotropic dilations of the mean value kernel for the heat equation is given. It is shown that the for any measurable kernel on \(\mathbb{R}^{d+1}\) the one-sided maximal function estimates are true. For the case \(d=1\), which corresponding to the case when kernel does not admit an integrable, the minimal ``radial-elliptic'' majorant does not belong to \(L^1(\mathbb{R}^2)\).
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one-sided parabolic maximal function
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heat equation
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mean value formula.
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0.8909808
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0.8786643
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0.87288284
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0.8677906
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