Analytic discs attached to manifolds with boundary
Let \(X\) be an \(n\)-dimensional complex manifold, \(M\) a real hypersurface of \(X\), and \(M^+\) one of the two closed subspaces of \(X\) with boundary \(M\). The paper deals with the following problem: Let \(A\) be an analytic disc in \(X\), \(z_0 = A(1) \in M\), such that \(\partial_\tau A(1) \in T^{\mathbb C}_{z_0} M\). What are conditions under which holomorphic functions on \(\overset\circ M^+\) extend holomorphically to a neighborhood of \(z_0\)?
scientific article; zbMATH DE number 1160422