The Fatou theorem and its converse

DOI10.1090/S0002-9947-1957-0088569-XzbMath0078.06304OpenAlexW2048527933MaRDI QIDQ3244554

Frederick W. Gehring

Publication date: 1957

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-1957-0088569-x

zbMATH Keywords

Theory of Functions

Related Items (7)

Einige Eigenschaften der Fourier-Stieltjes-Transformation ⋮ Boundary values of bounded holomorphic functions of several variables ⋮ Boundary uniqueness of harmonic functions and spectral subspaces of operator groups ⋮ On the boundary behavior of positive solutions of elliptic differential equations ⋮ On the Behavior of Harmonic Functions Near a Boundary Point ⋮ Some remarks concerning nonnegative harmonic functions ⋮ On the pointwise converse of Fatou's theorem for Euclidean and real hyperbolic spaces

Cites Work

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• The Poisson integral representation of functions which are positive and harmonic in a half-plane
• The Converse of Fatou's Theorem
• What is the Laplace Transform?
• The Converse of the Fatou Theorem for Positive Harmonic Functions

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