一阶微分从属

The First-order Differential Subordinations

本文给出函数g从属于函数f的充要条件和g不从属于f的必要条件,并利用这些结果确定一类一阶微分从属的最佳控制。

Let U={z:|z|<1}.Assume that the functions f and g are analytic in U,and f′(?)≠0 or ll z in U.We give a necessary and sufficient condition for functiong to be subordinate to ,and btain some results when g is not subordinate to f.Using these results,we determine the best ominant of some first-order differen-tial subord(?)ations.