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Subjects
31-XX Potential theory
31Axx Two-dimensional theory
31A05 Harmonic, subharmonic, superharmonic functions

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Displaying 1 – 3 of 3

New generalizations of the Poisson kernel.

Haruki, Hiroshi, Rassias, Themistocles M. (1997)

Journal of Applied Mathematics and Stochastic Analysis

Nonbasic harmonic maps onto convex wedges

Josephi Cima, Alberti Livingston (1993)

Colloquium Mathematicae

We construct a nonbasic harmonic mapping of the unit disk onto a convex wedge. This mapping satisfies the partial differential equation $f_{\bar{z}} = a f_{z}$ where a(z) is a nontrivial extreme point of the unit ball of $H^{\infty}$ .

Non-subharmonicity of the Hausdorff distance

Edoardo Vesentini (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

Si dimostra con esempi che la distanza di Hausdorff-Carathéodory fra i valori di funzioni multivoche, analitiche secondo Oka, non è subarmonica.

Currently displaying 1 – 3 of 3

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