论文摘要
本文主要研究调和Fock空间中算子的基本性质.通过推理出调和函数的一个基本积分不等式得到复平面上任一点的点赋值泛函有界,从而得出调和Fock空间的再生核函数以及由此基础上得到的从4到磋。空间的有界投影算子,并通过正Borel测度μ的Berezin变换及Fock-Carleson测度来刻画以μ为符号的Toeplitz算子的有界性,紧性.
论文目录
文章来源
类型: 硕士论文
作者: 洪颖
导师: 段永江
关键词: 调和空间,再生核,算子,测度
来源: 东北师范大学
年度: 2019
分类: 基础科学
专业: 数学
单位: 东北师范大学
分类号: O177
总页数: 39
文件大小: 1486K
下载量: 20
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