Spherical derivative of meromorphic function with image of finite spherical area

Journal of Inequalities and Applications

关键词: Chordal distance;    Spherical derivative;    Spherical area;    Poincaré;    metric;   

DOI  :  

来源: DOAJ

【 摘 要 】

Let be a domain in the complex plane with the Poincare metric which is if is the open unit disk. Suppose that the Riemann sphere of radius 1/2, so that it has the area and let . Let , , be the supremum of the spherical derivative of meromorphic in such that the spherical area of the image is not greater than . Then The equality holds if and only if is simply connected.

【 授权许可】

Unknown