ON CLASSES OF MEROMORPHIC FUNCTIONS

In this project I would like to study properties of meromorphic functions in the complex plane and in the unit disk with given growth of the spherical derivative. Meromorphic functions will be classified according to the growth of the spherical derivative. Properties, which will be studied in the project, include the boundary behavior and value distribution of functions, characterization of functions in terms of Carleson measure and filling disks. Some applications to differential equations will be considered.