南京师大学报(自然科学版)2005,Vol.28Issue(4):21-28,8.
Cn中单位球上的QK空间
QK Spaces on the Unit Ball of Cn
摘要
Abstract
In this paper, we introduce a class of M(o)bius-invariant Banach spaces QK of analytic functions on the unit ball of Cn, where K:(0,∞)→[0,∞) are non-decreasing functions, and develop the general theories on QK including an equivalent condition for QK to be non-trivial, the nesting property of QK, and the sufficient condition for QK=B(B) and so on. Let K(t)=tp, then we get the known results on Qp.关键词
M(o)bius不变/QK空间/Bloch空间Key words
M(o)bius invariant/QK space/Bloch space分类
数理科学引用本文复制引用
徐文..Cn中单位球上的QK空间[J].南京师大学报(自然科学版),2005,28(4):21-28,8.基金项目
Supported by the National Natural Science Foundation of China(10231010 and 10171047). (10231010 and 10171047)