On a Parametrized Levi Problem Involving One Complex Variable

Abstract

Abstract 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.

Locations

• Canadian Mathematical Bulletin - View - PDF