Littlewood-Paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary (Q1860770)
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scientific article; zbMATH DE number 1874591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Littlewood-Paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary |
scientific article; zbMATH DE number 1874591 |
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Littlewood-Paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary (English)
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21 August 2003
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The author discusses Littlewood-Paley inequalities on a Riemannian manifold with boundary satisfying a logarithmic Sobolev inequality. He uses the probabilistic methods initiated by P. A. Meyer and continued by Bakry and Emery. But he meets problems in bounding \(\Gamma_2\) such that he does not have the same exponent in the \(L^p\) spaces of the inequality.
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diffusion
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Brownian motion
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Littlewood-Paley inequalities
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Riemannian manifold with boundary
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logarithmic Sobolev inequality
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