Traces of Runge domains on analytic subsets
The main result of the paper is the following Theorem 3: Let \(A\subset\mathbb{C}^ n\) be a closed analytic subset, \(D\subset A\) a Runge open subset and \(K\subset\mathbb{C}^ n\) a holomorphically convex compact set such that \(K\cap A\subset D\). Then there exists a Runge open subset \(\tilde D\) in \(\mathbb{C}^ n\) with \(\tilde D\cap A=D\) and \(K\subset\tilde D\). As a consequence of this statement the author obtains an extension property of plurisubharmonic functions.
scientific article; zbMATH DE number 24911