α-Bloch函数与Carleson测度  

a-Bloch Functions and Carleson Measures

作　　者：俞迎达[1] 

机构地区：[1]北京理工大学应用数学系

出　　处：《北京理工大学学报》1992年第4期11-19,共9页Transactions of Beijing Institute of Technology

基　　金：高等学校博士学科点专项科研基金资助课题

摘　　要：继续Yamashita关于a-Bloch函数的研究,给出了a-Bloch空间B^a(B_0~a)的若干包含关系,建立了Hardy空间H^p与B^a的某种联系;并得到了关于f∈B^a(B_0~a)的几个等价条件;以及用B^a中的函数的导数和积分性质来表达Carleson测度的特征。As a continuation of the study on α- Bloch functions by Yamashita. S., several relations of inclusion of the α - Bloch space Bα are given. Some relationships between Bα and the Hardy space HP are established, and some equivalent representation about f ∈ Bα are also given. Expression of the characteristics of the Carleson measure in terms of the derivatives and properties of integration of function in Bα.

关 键 词：解析函数 Α-BLOCH函数 测度 

分 类 号：O174[理学—数学]