p-Bloch空间及Q_(p,0)空间与具有Hadamard间隙的全纯函数  

p-Bloch Space, Q_ p, 0 Space and Holomorphic Functions with Hadamard Gap

作　　者：胡鹏彦[1] 

机构地区：[1]深圳大学师范学院,深圳518060

出　　处：《深圳大学学报（理工版）》2002年第4期1-9,共9页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目 (10 10 10 13)

摘　　要：利用 p Carleson测度及具有Hadamard间隙的全纯函数讨论 p Bloch空间与Qp ,0 空间之间的关系 ,证明了 :①当 34 p<1时 ,Bp ∩1- 2 ( 1- p)n <q 1Qq ,0 ,且包含关系是严格的 ;②设 n- 1n <q 1 - 2 ( 1 - p)n 1 ,则Bp 与QqIn this paper, the relation between p Bloch space and Q p, 0  space is discussed by means of p Carleson measure and the holomorphic function with Hadamard gaps. The main results are: ① If34p<1, thenB p ∩1-2(1-p)n<q1Q q,0 , and the inclusion is proper; ② Letn-1n<q1-2(1-p)n1, then B p  and Q q can not include each other.

关 键 词：全纯函数 P-BLOCH空间 Qp 0空间 Hadamard间隙 p-Carleson测度 

分 类 号：O174.5[理学—数学]