Weighted composition operator on quaternionic Fock space
Weighted composition operator on quaternionic Fock space
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DOI：
10.1007/s43037-020-00087-6
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发表时间：
2018-03
影响因子：
1.2
通讯作者：
P. Lian;Yu-Xia Liang
中科院分区：
文献类型：
--
作者：
P. Lian;Yu-Xia Liang
本文研究了作用在四元数Fock空间上的加权复合算子的几个重要性质。建立了它的有界性和紧性的完全等价刻画。作为推论，给出了复Fock空间上的复合算子和乘法算子的刻画，这些刻画可以反映复Fock空间中已有的一些著名理论。最后，作为附录，给出了核函数的封闭表达式，加深了对的理解。
This paper is concerned with several important properties of weighted composition operator acting on the quaternionic Fock space. Complete equivalent characterizations for its boundedness and compactness are established. As corollaries, the descriptions for composition operator and multiplication operator onare presented, which can indicate some well-known existing theories in complex Fock space. Finally, as an appendix the closed expression for the kernel function ofis exhibited, which can deepen the understanding of.