调和Fock空间  

On Harmonic Fock Space

作　　者：陈雪 黄穗 CHEN Xue;HUANG Sui(School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China)

机构地区：[1]重庆师范大学数学科学学院

出　　处：《西南师范大学学报（自然科学版）》2020年第2期26-30,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市科委面上项目(cstc2019jcyj-msxmX0295)

摘　　要：主要在解析Fock空间中函数的性质的基础上,讨论调和Fock空间中函数的性质结构.首先计算了调和Fock空间的标准正交基、再生核,得到了投影算子的积分表示形式.其次对调和Fock空间中的函数值进行了估计,证明了极值函数的存在性,得到了其基本性质,并且在此基础上讨论了不同调和Fock空间的关系.In this paper,the structure of harmonic Fock space has been studied on the basis of analytic Fock space.Firstly,the orthonormal basis of space has been calculated,and kernel and integration form of orthogonal projection been reproduced.Secondly,the value of functions and obtain extremal functions have been estimated.Moreover,the relations among different harmonic Fock Spaces have also been discussed.

关 键 词：调和Fock空间 再生核 投影算子 极值函数 

分 类 号：O177.1[理学—数学]