A univalence criterion (Q2754566)

Let \(f\) be a holomorphic mapping from the unit ball \(B^n\) to \({\mathbb C^n}\) such that the determinant of its Jacobian is not equal to zero at every point of \(B^n\), where \(B^n\) is the unit ball in \({\mathbb C^n}\). The author finds a sufficient condition in terms of two inequalities involving the Jacobian matrix of \(f\) at every point of \(B^n\) so that \(f\) is a univalent map.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00027].