A result on extension of C.R. functions

@article{Derridj1983,
abstract = {Let $\Omega $ an open set in $\{\bf C\}^4$ near $z_0\in \partial \Omega $, $\lambda $ 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)]) : $\bar\{\partial \}u=\lambda f$, ($f$ is a $(0,1)$ form, $\bar\{\partial \}$ closed in $U(z_0)$ in $U(z_0)$ with supp$(u)\subset \bar\{\Omega \}\cap U(z_0)$, then we deduce an extension result for $C.R.$ functions on $\partial \Omega \cap U(z_0)$, as holomorphic fonctions in $\Omega \cap V(z_0)$.},
author = {Derridj, Makhlouf, Fornaess, John Erik},
journal = {Annales de l'institut Fourier},
keywords = {extension of C. R. functions},
language = {eng},
number = {3},
pages = {113-120},
publisher = {Association des Annales de l'Institut Fourier},
title = {A result on extension of C.R. functions},
url = {http://eudml.org/doc/74592},
volume = {33},
year = {1983},
}

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
PB - Association des Annales de l'Institut Fourier
VL - 33
IS - 3
SP - 113
EP - 120
AB - Let $\Omega $ an open set in ${\bf C}^4$ near $z_0\in \partial \Omega $, $\lambda $ 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)]) : $\bar{\partial }u=\lambda f$, ($f$ is a $(0,1)$ form, $\bar{\partial }$ closed in $U(z_0)$ in $U(z_0)$ with supp$(u)\subset \bar{\Omega }\cap U(z_0)$, then we deduce an extension result for $C.R.$ functions on $\partial \Omega \cap U(z_0)$, as holomorphic fonctions in $\Omega \cap V(z_0)$.
LA - eng
KW - extension of C. R. functions
UR - http://eudml.org/doc/74592
ER -