摘要
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 .
出处
《安徽理工大学学报(自然科学版)》
CAS
2014年第2期32-34,共3页
Journal of Anhui University of Science and Technology:Natural Science
基金
内蒙古教育厅资助项目(NJZY14305)
肇庆学院科研基金资助项目
关键词
对数-Bloch空间
高阶导数
再生核公式
logarithmic-Bloch type spaces
high order derivatives,reproducing formula