Angular limits of holomorphic functions which satisfy an integrability condition

DOI10.1007/BF01535575zbMath0765.30018MaRDI QIDQ1207654

Stephen J. Gardiner

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178577

zbMATH Keywords

Hausdorff measuresubharmonic functionasymptotic valueBessel capacityangular limitsHölder conjugate

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Cluster sets, prime ends, boundary behavior (30D40)

Cites Work

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• Angular limits and infinite asymptotic values of analytic functions of slow growth
• Maximum principles for subharmonic functions.
• Angular Limits of Holomorphic Functions of Slow Growth
• ON EXCEPTIONAL SETS ON THE BOUNDARY AND THE UNIQUENESS OF SOLUTIONS OF THE DIRICHLET PROBLEM FOR A SECOND ORDER ELLIPTIC EQUATION
• A Strong Type of Regularity for the PWB Solution of the Dirichlet Problem
• Angular Limits of Holomorphic and Meromorphic Functions: To Walter Hayman
• Harmonic Majorizations in Half-Balls and Half-Spaces
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• CURVILINEAR CLUSTER SETS OF ARBITRARY FUNCTIONS

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