Higher order derivative characterization for Fock-type spaces
Higher order derivative characterization for Fock-type spaces
复制标题
Fock 型空间的高阶导数表征
DOI：
10.1007/s00020-015-2246-1
复制
发表时间：
2016
影响因子：
0.8
通讯作者：
S. Ueki
中科院分区：
文献类型：
--
作者：
Sin-Ei Takahasi;Hiroyuki Takagi and Takeshi Miura;Osamu Hatori and Lajos Molnar;S. Ueki
本文给出了Fock型空间的高阶导数的一个特征以及这些导数的局部积分平均的性质。这个空间有一个闭子空间。我们还通过高阶导数刻画了这个子空间。作为应用，我们研究了推广的塞萨罗算子Tgonand的有界性和紧性.
In this paper, we give a characterization for the Fock-type spacein terms of higher order derivatives offand behaviors of local integral means of those derivatives. The spacehas the closed subspace. We also characterize this subspace via higher order derivatives. As an application we study the boundedness and compactness of the extended Cesaro operatorTgonand.