吉林大学学报（理学版）2025，Vol.63Issue(5)：1225-1230,6.DOI:10.13413/j.cnki.jdxblxb.2024513
一般Gaussian测度Fock空间上对偶Toeplitz算子的紧性
Compactness of Dual Toeplitz Operators on Fock Spaces with General Gaussian Measures
摘要
Abstract
Aiming at the compactness problem of dual Toeplitz operators on Fock spaces with general Gaussian measures.We first defined logarithm-type complete square functions,and then by constructing a family of auxiliary functions,and using methods such as scaling and multiplication operator decompositions,we gave necessary and sufficient conditions for the boundedness and compactness of dual Toeplitz operators on Fock spaces with general Gaussian measures.This extended the research methods of dual Toeplitz operators on Fock spaces to the general Gaussian measure Fock spaces.关键词
Fock空间/对偶Toeplitz算子/Gaussian测度/紧性/有界性Key words
Fock space/dual Toeplitz operator/Gaussian measure/compactness/boundedness分类
数理科学引用本文复制引用
孙铭浩,邴迪,李然..一般Gaussian测度Fock空间上对偶Toeplitz算子的紧性[J].吉林大学学报（理学版）,2025,63(5):1225-1230,6.基金项目
国家自然科学基金(批准号:11901269)和辽宁省教育厅自然科学类项目(批准号:JYTMS20231041). （批准号:11901269）
