Let be an open set in and be a subset of . We characterize those pairs which permit the extension of superharmonic functions from to , or the approximation of functions on by harmonic functions on .
Soient un ouvert de et une partie de . Nous caractérisons les paires qui nous permettent d’étendre les fonctions surharmoniques de à , ou d’approcher les fonctions sur par les fonctions harmoniques sur .
@article{AIF_1994__44_1_65_0, author = {Gardiner, Stephen J.}, title = {Superharmonic extension and harmonic approximation}, journal = {Annales de l'Institut Fourier}, pages = {65--91}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {44}, number = {1}, year = {1994}, doi = {10.5802/aif.1389}, zbl = {0795.31004}, mrnumber = {95a:31006}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1389/} }
TY - JOUR AU - Gardiner, Stephen J. TI - Superharmonic extension and harmonic approximation JO - Annales de l'Institut Fourier PY - 1994 SP - 65 EP - 91 VL - 44 IS - 1 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1389/ DO - 10.5802/aif.1389 LA - en ID - AIF_1994__44_1_65_0 ER -
%0 Journal Article %A Gardiner, Stephen J. %T Superharmonic extension and harmonic approximation %J Annales de l'Institut Fourier %D 1994 %P 65-91 %V 44 %N 1 %I Institut Fourier %C Grenoble %U https://aif.centre-mersenne.org/articles/10.5802/aif.1389/ %R 10.5802/aif.1389 %G en %F AIF_1994__44_1_65_0
Gardiner, Stephen J. Superharmonic extension and harmonic approximation. Annales de l'Institut Fourier, Volume 44 (1994) no. 1, pp. 65-91. doi : 10.5802/aif.1389. https://aif.centre-mersenne.org/articles/10.5802/aif.1389/
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