Gelfer函数与Yamashita问题

GELFER FUNCTIONS AND YAMASHITA'S PROBLEMS

Ｇｅｌｆｅｒ函数与Ｙａｍａｓｈｉｔａ问题邹中柱（湖南怀化师范专科学校，湖南怀化４１８００８）１９９１年７月１９日收到，１９９２年１１月２４日收到修改稿．若函数在单位圆盘中解析，且对于一切都有则称函数［２］，记其全体为Ｇ，并用Ｇ表示其单叶子类．显然，当...

ABSTRACTLet G be a class of Gelfer functions f which are analytic in the unit disc and satisfy conditions f(0) = 1 and for all z,Recently, S. Yamashita[1] investigated the class G and posed ten problems. In thispaper, we answer two of them: (i) for (0, 1), the relationis not true; (ii) if f,g G, then the relation is not ture. Moreover,we discuss other properties of the Gelfer functions.