1) little Bloch space
小Bloch空间
1.
In this paper, the authors define the weighted little Bloch space B _ 0,log to be the set of all holomorphic functions f on the unit disc D for which lim | z |→1 -(1-| z | 2)(log11-| z| 2)|f′(z) |=0and they characterize the boundedness and compactness of the composition operators on B _ 0,log .
对加权小Bloch空间B0 ,log={ f∈H(D) ;lim|z|→ 1 (1- |z|2 ) (log 11- |z|2 ) |f′(z) |=0 } ,我们刻划了其上复合算子的有界性和紧性 。
2.
As the main results of this paper, a sufficient and necessary condition is given for the products to be bounded and compact between generalized Bloch spaces, as well as little Bloch spaces.
本文主要研究了单位圆盘上广义Bloch空间之间及小Bloch空间之间的复合算子与微分算子的乘积算子的性质,给出了它的有界性和紧性的充要条件,全文共分为六部分: 第一部分,简要介绍了本文需要用到的一些基本概念,并指出了近些年在这个领域内的一些主要工作,相当于是一个前言,同时,还在本部分给出了主要的结果。
2) little Bloch type space
小Bloch型空间
1.
The compact composition operators between little Bloch type spaces on the unit ball;
单位球上小Bloch型空间之间的紧复合算子
3) Little q-Bloch space
小q-Bloch空间
1.
Weight Composition Operators Form p-Bloch Spaces to Little q-Bloch spaces;
p-Bloch空间到小q-Bloch空间的加权复合算子
4) Little p-Bloch space
小p-Bloch空间
6) weighted little Bloch space
加权小Bloch空间
1.
In this paper, the authors define the weighted little Bloch space B _ 0,log to be the set of all holomorphic functions f on the unit disc D for which lim | z |→1 -(1-| z | 2)(log11-| z| 2)|f′(z) |=0and they characterize the boundedness and compactness of the composition operators on B _ 0,log .
对加权小Bloch空间B0 ,log={ f∈H(D) ;lim|z|→ 1 (1- |z|2 ) (log 11- |z|2 ) |f′(z) |=0 } ,我们刻划了其上复合算子的有界性和紧性 。
补充资料:Bloch常数
Bloch常数
Bloch constant
【译注1关于Bloeh常数B的F界估计M .Hein以[Bl])和Ch.pommerenke([BZ〕)曾证明B习了广4,且11[2}的结果只保留不等号BI.对l常数IB10d,“.stant;Ejoxa姗cl习.T,」 一个由Blocll定理(Bloc】1 theorem)确定其存在的绝对常数.设打是单位圆}之{
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参考词条