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Tangential limits and exceptional sets for holomorphic Besov functions in the unit ball of \(C^ n\) - MaRDI portal

Tangential limits and exceptional sets for holomorphic Besov functions in the unit ball of \(C^ n\) (Q1320921)

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scientific article; zbMATH DE number 561179
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Tangential limits and exceptional sets for holomorphic Besov functions in the unit ball of \(C^ n\)
scientific article; zbMATH DE number 561179

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    Tangential limits and exceptional sets for holomorphic Besov functions in the unit ball of \(C^ n\) (English)
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    20 October 1994
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    The author shows the existence of limits at the boundary of the unit ball in \(\mathbb{C}^ n\) along certain tangential approach regions for functions lying in a Besov space. It is also proved that the compact exceptional sets are precisely those with Hausdorff capacity 0.
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    exceptional sets
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    tangential approach regions
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    Besov space
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