Soit un ouvert de , de classe près de , une fonction holomorphe convenable près de . Sachant que l’on sait résoudre (voir [M. Derridj, Annali.Sci. Norm. Pisa, Série IV, vol. IX (1981)]) le problème : forme donnée dans , fermée) dans avec supp, on déduit un résultat d’extension de fonctions sur , en fonctions holomorphes dans .
Let an open set in near , a suitable holomorphic function near . If we know that we can solve the following problem (see [M. Derridj, Annali. Sci. Norm. Pisa, Série IV, vol. IX (1981)]) : , ( is a form, closed in in with supp, then we deduce an extension result for functions on , as holomorphic fonctions in .
@article{AIF_1983__33_3_113_0, author = {Derridj, Makhlouf and Fornaess, John Erik}, title = {A result on extension of {C.R.} functions}, journal = {Annales de l'Institut Fourier}, pages = {113--120}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {33}, number = {3}, year = {1983}, doi = {10.5802/aif.933}, mrnumber = {85f:32031}, zbl = {0518.32010}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.933/} }
TY - JOUR AU - Derridj, Makhlouf AU - Fornaess, John Erik TI - A result on extension of C.R. functions JO - Annales de l'Institut Fourier PY - 1983 SP - 113 EP - 120 VL - 33 IS - 3 PB - Institut Fourier PP - Grenoble UR - http://www.numdam.org/articles/10.5802/aif.933/ DO - 10.5802/aif.933 LA - en ID - AIF_1983__33_3_113_0 ER -
%0 Journal Article %A Derridj, Makhlouf %A Fornaess, John Erik %T A result on extension of C.R. functions %J Annales de l'Institut Fourier %D 1983 %P 113-120 %V 33 %N 3 %I Institut Fourier %C Grenoble %U http://www.numdam.org/articles/10.5802/aif.933/ %R 10.5802/aif.933 %G en %F AIF_1983__33_3_113_0
Derridj, Makhlouf; Fornaess, John Erik. A result on extension of C.R. functions. Annales de l'Institut Fourier, Tome 33 (1983) no. 3, pp. 113-120. doi : 10.5802/aif.933. http://www.numdam.org/articles/10.5802/aif.933/
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