Traces on curves of Sobolev spaces of holomorphic functions (Q1174917)

Let \(S\) denote the boundary of the unit ball \(B^ n\) in \(\mathbb{C}^ n\). The aim of the paper is to describe the trace of the Hardy-Sobolev space \(H^ p\) of holomorphic functions along certain submanifolds of \(S\). As in the real variable theory, the description of the trace involves Besov spaces. It is shown that analogical results hold for the so-called Bergman-Sobolev spaces \(A_{\beta,\gamma}^ p\) of holomorphic functions.