单叶调和函数的Bloch和Qp空间

Bloch and Qp paces of univalent harmonic functions

设f=h+g是单位圆上保向的单叶调和函数,其中h和g是单叶解析函数。Rauno Aulaskari在文章[1]中给出了解析情况下Bloch空间和Qp空间的关系,利用单位圆中单叶调和函数的性质,作者将这一结果推广至调和的情形,相应得到了调和Bloch空间和Qp空间的关系。

Let f=h+g be a univalent harmonic function on the unit disc,where h and g are univalent analytic functions.Rauno Aulaskari[1]gave the relationship between Bloch space and Qp space in the analytic case,By using some properties of univalent harmonic function in unit disc,in the paper,we extend this result to the harmonic case,we obtain some characterizations of the relationship between Bloch and Qp space.