对数Bloch型空间的高阶导数特征

The High Order Derivative Characterization of Logarithmic Bloch Type Spaces

通过运用基本的积分技巧和Bergman空间的再生核公式,研究了对数-Bloch空间的若干性质。获得了解析函数属于对数-Bloch空间的一个高阶导数特征;获得了解析函数属于对数-Bloch空间的一个无导数刻画。这两个特点是对数-Bloch空间重要的分析性质,它进一步完善了对数-Bloch空间的理论,有重要的理论和应用意义。

Applying the fundamental analysis technique and the reproducing formula of the Bergman space , some properties of logarithmic-Bloch type spaces were studied .The derivative -free characterizations was obtained for an analytic function belonging to the logarithmic -Bloch type spaces .The high order derivative characteriza-tion of the logarithmic -Bloch type space was obtained .The two properties are important , which enriches the theory of the logarithmic -Bloch type space.It has important significance in application .