Let Ω be a bounded convex domain of finite type with smooth boundary. If f is a holomorphic self-mapping of Ω which fixes a boundary point P, we obtain some estimates of the eigenvalues of the complex Jacobian matrix of f at P. These estimates can be thought of as a generalization of the boundary Schwarz lemma on strongly pseudoconvex domains.

中文翻译：

---

关于有限型凸域的边界Schwarz引理的一个注记

令Ω为具有光滑边界的有限类型的有界凸域。如果f是固定边界点P的Ω的全纯自映射，则可以得到f的复杂雅可比矩阵在P处的特征值的一些估计。这些估计可以认为是强伪凸域上边界Schwarz引理的推广。