加权Fock空间上乘法算子的有界性和紧性
The Boundedness and Compactness of Multiplication Operators on Weighted Fock Spaces
DOI: 10.12677/pm.2025.151005, PDF,    科研立项经费支持
作者: 何 欣, 田 浩：河北工业大学理学院，天津
关键词: 加权Fock空间；乘法算子；有界性；紧性；Weighted Fock Spaces； Multiplication Operator； Boundedness； Compactness
摘要: 本文凭借逐点估计、范数估计等相关技巧，给出了指标不同的加权Fock空间中乘法算子有界性与紧性的等价描述。
Abstract: In this paper, by pointwise estimation, norm estimation and other related techniques, the equivalent descriptions of the boundedness and compactness of multiplication operators in weighted Fock spaces with different indices are presented.
文章引用：何欣, 田浩. 加权Fock空间上乘法算子的有界性和紧性[J]. 理论数学, 2025, 15(1): 40-46. https://doi.org/10.12677/pm.2025.151005

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