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On analytic functions with cluster sets of finite linear measure

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Publication:1090441
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DOI10.1307/mmj/1029003486zbMath0621.30028OpenAlexW1965511411MaRDI QIDQ1090441

Christian Pommerenke

Publication date: 1987

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029003486


zbMATH Keywords

bounded analytic functionlinear Hausdorff measuretotal cluster set


Mathematics Subject Classification ID

Cluster sets, prime ends, boundary behavior (30D40)


Related Items (5)

On holomorphic functions with cluster sets of finite linear measure ⋮ Polynomial hull of a compact set of finite length and holomorphic chains with rectifiable boundary ⋮ Radó-Kneser-Choquet theorem for harmonic mappings between surfaces ⋮ Fix-points of meromorphic functions and iterated entire functions ⋮ On the angular derivative of analytic functions




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