A result on extension of C.R. functions
Annales de l'Institut Fourier, Volume 33 (1983) no. 3, p. 113-120
Let Ω an open set in C 4 near z 0 Ω, λ a suitable holomorphic function near z 0 . If we know that we can solve the following problem (see [M. Derridj, Annali. Sci. Norm. Pisa, Série IV, vol. IX (1981)]) : ¯u=λf, (f is a (0,1) form, ¯ closed in U(z 0 ) in U(z 0 ) with supp(u)Ω ¯U(z 0 ), then we deduce an extension result for C.R. functions on ΩU(z 0 ), as holomorphic fonctions in ΩV(z 0 ).
Soit Ω un ouvert de C n , de classe C 4 près de z 0 Ω, λ une fonction holomorphe convenable près de z 0 . Sachant que l’on sait résoudre (voir [M. Derridj, Annali.Sci. Norm. Pisa, Série IV, vol. IX (1981)]) le problème : ¯u=λf(f(0,1) forme donnée dans U(z 0 ), ¯ fermée) dans U(z 0 ) avec supp(u)Ω ¯U(z 0 ), on déduit un résultat d’extension de fonctions C.R. sur ΩU(z 0 ), en fonctions holomorphes dans ΩV(z 0 ).
@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},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {33},
     number = {3},
     year = {1983},
     pages = {113-120},
     doi = {10.5802/aif.933},
     zbl = {0518.32010},
     mrnumber = {85f:32031},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1983__33_3_113_0}
}
Derridj, Makhlouf; Fornaess, John Erik. A result on extension of C.R. functions. Annales de l'Institut Fourier, Volume 33 (1983) no. 3, pp. 113-120. doi : 10.5802/aif.933. http://www.numdam.org/item/AIF_1983__33_3_113_0/

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