The n-th derivative characterisation of Möbius invariant Dirichlet space
The n-th derivative characterisation of Möbius invariant Dirichlet space
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DOI：
10.1017/s0004972700031993
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发表时间：
1998-08
影响因子：
0.7
通讯作者：
R. Aulaskari;M. Nowak;R. Zhao
中科院分区：
文献类型：
--
作者：
R. Aulaskari;M. Nowak;R. Zhao
本文给出了属于最近定义的函数空间Qp和Qp，0的函数的n阶导数准则。对于一个特殊的参数值p=1，这个准则适用于BMOA和VMOA，而对于p>；1，它适用于Bloch空间和小Bloch空间。在此基础上，给出了QP的Carleson测度刻画，并在最后一节中考虑了从HQ到QP的乘子空间。
In this paper we give the n-th derivative criterion for functions belonging to recently defined function spaces Qp and Qp, 0. For a special parameter value p = 1 this criterion is applied to BMOA and VMOA, and for p > 1 it is applied to the Bloch space and the little Bloch space . Further, a Carleson measure characterisation is given to Qp, and in the last section the multiplier space from Hq into Qp is considered.