Liouville's theorem and the restricted mean value property in the plane

Hansen W (1998)
Journal de Mathématiques Pures et Appliquées 77(9): 943-947.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
Let U be a domain in R-2 such that U-c is polar and let r be a real function on U such that 0 < r less than or equal to \.\ + M. A positive numerical function f on U is called r-supermedian if, for every x is an element of U, the average of f on the disk of center r and radius r(x) is at most f(x) The purpose of this note is to give a short proof for the fact that every 1.s.c. r-median function is constant. (C) Elsevier, Paris.
Erscheinungsjahr
1998
Zeitschriftentitel
Journal de Mathématiques Pures et Appliquées
Band
77
Ausgabe
9
Seite(n)
943-947
ISSN
0021-7824
Page URI
https://pub.uni-bielefeld.de/record/1624554

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Hansen W. Liouville's theorem and the restricted mean value property in the plane. Journal de Mathématiques Pures et Appliquées. 1998;77(9):943-947.
Hansen, W. (1998). Liouville's theorem and the restricted mean value property in the plane. Journal de Mathématiques Pures et Appliquées, 77(9), 943-947. https://doi.org/10.1016/S0021-7824(01)80004-0
Hansen, W. (1998). Liouville's theorem and the restricted mean value property in the plane. Journal de Mathématiques Pures et Appliquées 77, 943-947.
Hansen, W., 1998. Liouville's theorem and the restricted mean value property in the plane. Journal de Mathématiques Pures et Appliquées, 77(9), p 943-947.
W. Hansen, “Liouville's theorem and the restricted mean value property in the plane”, Journal de Mathématiques Pures et Appliquées, vol. 77, 1998, pp. 943-947.
Hansen, W.: Liouville's theorem and the restricted mean value property in the plane. Journal de Mathématiques Pures et Appliquées. 77, 943-947 (1998).
Hansen, Wolfhard. “Liouville's theorem and the restricted mean value property in the plane”. Journal de Mathématiques Pures et Appliquées 77.9 (1998): 943-947.

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