单叶函数子族的性质

Properties of subclasses of univalent functions

将单叶函数与Ｈｐ空间的研究相结合，对Ｒｏｂｅｒｔｓｏｎ的关于边界点的星形函数族Ｇ进行讨论，得到了Ｇ族函数的卷积刻画、积分平均不等式、部分和特征及其与ＢＭＯＡ的关系．

Being combined with the research of univalent functions and H p spaces, Robertson G univalent functions starlike with respect to a boundary point is studied. The convolution character, the partial sum character and the integral means inequality of the class G are obtained, at the same time, the relation of G with BMOA is given. The radius of starlikeness of the class consisting of the analytic functions with total monotone coefficients and having the value 1 at the origin and the radius of the neibourhood of the G functions are determined.