Geodesic
On a Parametrized Levi Problem Involving One Complex Variable
Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 324-327

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The classical Levi problem in several complex variables characterizes domains of holomorphy in terms of a boundary condition called pseudo convexity. The purpose of this note is to give a characterization of those domains D in C×R, where one can always solve the -problem with C∞ parameters, in terms of a certain kind of convexity condition on their boundaries.
DOI : 10.4153/CMB-1983-052-9
Mots-clés : 30G30 
Gilligan, Bruce. On a Parametrized Levi Problem Involving One Complex Variable. Canadian mathematical bulletin, Tome 26 (1983) no. 3, pp. 324-327. doi: 10.4153/CMB-1983-052-9
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     title = {On a {Parametrized} {Levi} {Problem} {Involving} {One} {Complex} {Variable}},
     journal = {Canadian mathematical bulletin},
     pages = {324--327},
     year = {1983},
     volume = {26},
     number = {3},
     doi = {10.4153/CMB-1983-052-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-052-9/}
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