On the upper bounds of Green potentials (Q1894986)
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scientific article; zbMATH DE number 780123
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the upper bounds of Green potentials |
scientific article; zbMATH DE number 780123 |
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On the upper bounds of Green potentials (English)
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27 July 1995
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The author gives an elementary analytic proof of the Cranston-McConnell theorem: Let \(D\subset \mathbb{R}^2\) be a domain of finite area. There exists a constant \(c\) such that for any \(h\geq 0\) harmonic in \(D\) \[ \int_D G(x, y) h(y) dy\leq c |D|h(x). \]
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Green potential
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lifetime of \(h\)-Brownian motion
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Cranston-McConnell theorem
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0.91889286
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0.91114074
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0.8962529
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0.89231175
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