n中Fock型空间上线性算子的有界性和紧性
Boundedness and Compactness of Linear Operators on Fock Type Spaces in ℂn
DOI: 10.12677/PM.2021.113053, PDF,    国家自然科学基金支持
作者: 罗 颜, 杨从丽*, 黄星星:贵州师范大学数学科学学院,贵州 贵阳
关键词: 稠密算子有界算子紧算子Dense Operator Bounded Operator Compact Operator
摘要: 本文主要给出了n维复空间ℂn中Fock型空间上线性算子为有界算子的充分条件,以及利用Berezin变换给出了线性算子为紧算子的充分条件。
Abstract: In this paper, the sufficient conditions for linear operators to be bounded on Fock type spaces in n-dimensional complex spaces ℂ are given, and the sufficient conditions for linear operators to be compact operators are given by Berezin transformation.
文章引用:罗颜, 杨从丽, 黄星星. ℂn中Fock型空间上线性算子的有界性和紧性[J]. 理论数学, 2021, 11(3): 407-418. https://doi.org/10.12677/PM.2021.113053

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