Algebraic Properties of Little-Hankel Operators on Cutoff Harmonic Bergman Space

作     者：Jingyu YANG Yufeng LU Huo TANG Jingyu YANG;Yufeng LU;Huo TANG

作者机构：College of Mathematics and Computer Science Chifeng University School of Mathematical Sciences Dalian University of Technology 

出 版 物：《Journal of Mathematical Research with Applications》 (数学研究及应用(英文版))

年 卷 期：2022年第42卷第4期

页      面：381-401页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 11761006) the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Grant No. 2021MS01002) Program for Young Talents of Chifeng University (Grant No. CFXYYT2201) 

主　　题：little-Hankel operator cutoff Harmonic Bergman space commutator finite rank semi-commutator 

摘      要：In this paper, we study the finite rank product, commutators and semi-commutators of little-Hankel operators with quasihomogeneous symbols on the cutoff harmonic Bergman space bn~2. We obtain the conclusions that the commutator and semi-commutator of little-Hankel operators with qusihomogeneous symbols are finite rank operators.