Harmonic analysis on negatively curved manifolds. Carleson measure, Brownian motion and a gradient estimate for harmonic functions (Q2751505)
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scientific article; zbMATH DE number 1664883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Harmonic analysis on negatively curved manifolds. Carleson measure, Brownian motion and a gradient estimate for harmonic functions |
scientific article; zbMATH DE number 1664883 |
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2 September 2002
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harmonic analysis
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negatively curved manifolds
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Carleson measure
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Green potentials
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Martin integral operator
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harmonic Bloch functions
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Harmonic analysis on negatively curved manifolds. Carleson measure, Brownian motion and a gradient estimate for harmonic functions (English)
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This is mainly a summary article of recent works of the author on harmonic analysis on negatively curved manifolds. First, after recalling the definition of Hardy type spaces such as \(H^1_{\text{atom}}, H^p_{\text{prob}},H^p_{\text{mart}}\), the author states some relations among them. Next, after recalling the definitions of Carleson measure and Green potentials, the author states some relations between Carleson measures, Martin integral operator, Green potential and BMO. Finally, after giving the definition of harmonic Bloch functions, the author states some characterizations of harmonic Bloch functions.NEWLINENEWLINEFor the entire collection see [Zbl 0964.00042].
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