On generalized tube domains over

If , are domains over , then Ω = X 1 × X 2 carries a canonical structure of a generalized tube domain over . In response to a question of Jarnicki and Pflug (M. Jarnicki and P. Pflug (2000). Extension of Holomorphic Functions, Springer-Verlag), we show that Ω is one-sheeted and equivalent to a product of convex domains, if it is pseudoconvex.