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？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 ？n

DOI: 10.12677/PM.2021.113053, PP. 407-418

Keywords: 稠密算子，有界算子，紧算子
Dense Operator, Bounded Operator, Compact Operator

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Abstract:

本文主要给出了n维复空间？n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。
In this paper, the sufficient conditions for linear operators to be bounded on Fock type spaces in n-dimensional complex spaces ？ are given, and the sufficient conditions for linear operators to be compact operators are given by Berezin transformation.

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