On alpha-Bloch functions and VMOA

被引:39
作者
Zhao, RH [1 ]
机构
[1] ACAD SINICA,WUHAN INST MATH SCI,WUHAN 430071,PEOPLES R CHINA
关键词
D O I
10.1016/S0252-9602(17)30811-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper some characterizations of alpha-Bloch functions and little alpha-Bloch functions are given. For 0 < alpha < infinity, it is shown that alpha-Bloch functions are contained in VMOA.
引用
收藏
页码:349 / 360
页数:12
相关论文
共 16 条
[1]  
[Anonymous], 1994, ANN ACAD SCI FENN A
[2]  
AULASKARI R, 1994, PITMAN RES, V359, P136
[3]  
AULASKARI R, 1995, COMPLEX VARIABLES, V128, P135
[5]  
Duren P. L., 1970, PURE APPL MATH, V38
[6]  
DUREN PL, 1969, J REINE ANGEW MATH, V238, P32
[7]  
Garnett JB., 2007, Bounded Analytic Functions
[8]   Some properties of fractional integrals II [J].
Hardy, GH ;
Littlewood, JE .
MATHEMATISCHE ZEITSCHRIFT, 1932, 34 :403-439
[9]   BOUNDARY BEHAVIOUR AND NORMAL MEROMORPHIC FUNCTIONS [J].
LEHTO, O ;
VIRTANEN, KI .
ACTA MATHEMATICA, 1957, 97 (1-2) :47-65
[10]   UNIVALENT FUNCTIONS, BLOCH FUNCTIONS AND VMOA [J].
POMMERENKE, C .
MATHEMATISCHE ANNALEN, 1978, 236 (03) :199-208