烟台大学学报(自然科学与工程版)2024,Vol.37Issue(3):249-255,7.DOI:10.13951/j.cnki.37-1213/n.230705
2-解析Bergman空间上的Toeplitz算子
Toeplitz Operators on 2-Analytic Bergman Space
摘要
Abstract
A discussion is made on Toeplitz operators on the 2-analytic Bergman space.By means of Mellin trans-form,one sufficient and necessary condition is given for a Toeplitz operator to be quasihomogeneous symbol.With the properties of the coefficient matrix of Toeplitz operators,we study the semicommutators of quasihomogeneous To-eplitz operators and radial Toeplitz ones,and obtain some corresponding sufficient and necessary conditions.关键词
2-解析Bergman空间/Toeplitz算子/半交换子/Mellin变换Key words
2-analytic Bergman space/Toeplitz operator/semicommutator/Mellin transform分类
数理科学引用本文复制引用
余白瑞,张波,胡健..2-解析Bergman空间上的Toeplitz算子[J].烟台大学学报(自然科学与工程版),2024,37(3):249-255,7.基金项目
山东省自然科学基金资助项目(ZR2021MA015). (ZR2021MA015)