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Some boundary increasing properties of harmonic functions in Lipschitz domain - MaRDI portal

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Some boundary increasing properties of harmonic functions in Lipschitz domain (Q1917809)

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scientific article; zbMATH DE number 903445
Language Label Description Also known as
English
Some boundary increasing properties of harmonic functions in Lipschitz domain
scientific article; zbMATH DE number 903445

    Statements

    title
    Some boundary increasing properties of harmonic functions in Lipschitz domain (English)
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    publication date
    15 July 1996
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    review text
    Nontangential increasing properties of positive harmonic functions in Lipschitz domains are studied using Martin representation theory. It is shown that the nontangential increasing degree of a positive harmonic function near a boundary point is exactly the local degree of its representation measure with respect to the harmonic measure.
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    zbMATH Keywords
    nontangential increasing degree
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    positive harmonic function
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    representation measure
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    harmonic measure
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    author
    Yiping Zhang
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    reviewed by
    Miroslav Dont
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    Identifiers

    zbMATH DE Number
    903445
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