A measure-theoretic boundary limit theorem (Q1082498)
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scientific article; zbMATH DE number 3973295
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A measure-theoretic boundary limit theorem |
scientific article; zbMATH DE number 3973295 |
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A measure-theoretic boundary limit theorem (English)
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1984
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The authors describe in purely measure-theoretic terms, without reference to probability or harmonic functions, the convergence a.e. of an appropriate ratio of positive linear functionals of measures to their Radon-Nikodym derivative. From this result the fine limit theorem of Fatou-Naim-Doob and its extension to general potential theories follow in a few lines.
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finite measure space
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superharmonic functions
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positive linear functionals
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Radon-Nikodym derivative
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fine limit theorem
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