Geodesic
A uniqueness theorem for harmonic functions on half-spaces
Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 189-191

Voir la notice de l'article provenant de la source Cambridge University Press

An arbitrary point of the Euclidean space Rn+1, where n > 1, is denoted by (X, y), where X ∈ Rn and y ∈ R, and we denote the Euclidean norm on Rn by ∥·∥. If h is harmonic on the half-space Ω = {(X, y): y > 0}, then we define extended real-valued functions m and M as follows:and 
Armitage, D. H. A uniqueness theorem for harmonic functions on half-spaces. Glasgow mathematical journal, Tome 31 (1989) no. 2, pp. 189-191. doi: 10.1017/S0017089500007722
@article{10_1017_S0017089500007722,
     author = {Armitage, D. H.},
     title = {A uniqueness theorem for harmonic functions on half-spaces},
     journal = {Glasgow mathematical journal},
     pages = {189--191},
     year = {1989},
     volume = {31},
     number = {2},
     doi = {10.1017/S0017089500007722},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007722/}
}
TY  - JOUR
AU  - Armitage, D. H.
TI  - A uniqueness theorem for harmonic functions on half-spaces
JO  - Glasgow mathematical journal
PY  - 1989
SP  - 189
EP  - 191
VL  - 31
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007722/
DO  - 10.1017/S0017089500007722
ID  - 10_1017_S0017089500007722
ER  - 
%0 Journal Article
%A Armitage, D. H.
%T A uniqueness theorem for harmonic functions on half-spaces
%J Glasgow mathematical journal
%D 1989
%P 189-191
%V 31
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500007722/
%R 10.1017/S0017089500007722
%F 10_1017_S0017089500007722

[1] 1.Armitage, D. H., A new proof of a uniqueness theorem for harmonic functions in half-spaces, Bull. London Math. Soc, 9 (1977), 317–320. Google Scholar | DOI

[2] 2.Aršon, I. S. and Pak, M. A., A uniqueness theorem for harmonic functions in a half-space (Russian), Mat. Sborn., 68 (110), (1965), 148–151. Google Scholar

[3] 3.Grigorjan, B. V., Uniqueness theorems for harmonic functions of three variables in a domain of rotation (Russian), Izv. Akad. Nauk Armjan. SSR Ser. Mat., 7 (1972), 81–89—mdash;English translation Sov. Mat. 7 (1972), 81–89. Google Scholar

[4] 4.Rao, N. V., Carlson theorem for harmonic function in R n, J. Approx. Theory, 12 (1974), 309–314. Google Scholar | DOI

[5] 5.Zygmund, A., Trigonometric series Vol. II. (Cambridge University Press, Cambridge, 1959). Google Scholar

Cité par Sources :