The pointwise Fatou theorem and its converse for positive pluriharmonic functions

DOI10.1215/S0012-7094-82-04934-1zbMath0558.31002OpenAlexW1594251983MaRDI QIDQ762651

Wade C. Ramey, David C. Ullrich

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-82-04934-1

zbMATH Keywords

harmonic functionpluriharmonic functionFatou theoremboundary limit

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25) Boundary behavior of holomorphic functions of several complex variables (32A40) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (6)

Pointwise Fatou theorem for generalized harmonic functions -- normal boundary values ⋮ Existence and Nonexistence of Radial Limits of Minimal Surfaces ⋮ On (Fejér-)Riesz type inequalities, Hardy-Littlewood type theorems and smooth moduli ⋮ Characterizations of composition operators on Bloch and Hardy type spaces ⋮ Harmonic Lipschitz type spaces and composition operators meet majorants ⋮ On the Behavior of Harmonic Functions Near a Boundary Point

Cites Work

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• Harmonic Functions on Hermitian Hyperbolic Space
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• The Converse of the Fatou Theorem for Positive Harmonic Functions

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