双曲型Q_K空间、Dirichlet空间与α-Bloch空间的关系

Relationship between hyperbolic Q_K space and Dirichlet space and α-Bloch space

近年来,Q_K空间的研究受到了广大学者的关注。这类空间的性质很依赖于权函数K(r)。研究其对应的双曲型Q_K空间,刻画了当非减函数K(r)满足什么条件时,它与双曲Dirichlet空间、双曲α-Bloch空间相互包含。

The theory of Q_K space has been much investigated in recent years. It is well known that the properties of this space strongly depends on the weight function K（ r）. We shall study the correspondence hyperbolic type Q_K space and obtain some conditions on K（ r） that characterize the relationship between hyperbolic type Q_K space and hyperbolic Dirichlet space and hyperbolic α-Bloch space.