首页 | 本学科首页   官方微博 | 高级检索  
     检索      

调和Bergman空间上Toeplitz算子的代数性质
引用本文:杨静宇,卢玉峰,王晓英.调和Bergman空间上Toeplitz算子的代数性质[J].数学研究及应用,2016,36(4):495-504.
作者姓名:杨静宇  卢玉峰  王晓英
作者单位:赤峰学院数学与统计学院, 内蒙古 赤峰 024000; 大连理工大学数学科学学院, 辽宁 大连 116024,大连理工大学数学科学学院, 辽宁 大连 116024,赤峰学院数学与统计学院, 内蒙古 赤峰 024000
基金项目:国家自然科学基金(Grant Nos.11271059; 11301047), 内蒙古自治区高等学校科学研究项目(Grant No.NJZY 13298).
摘    要:In this paper, we first investigate the finite-rank product problem of several Toeplitz operators with quasihomogeneous symbols on the harmonic Bergman space. Next, we characterize finite rank commutators and semi-commutators of two Toeplitz operators with quasihomogeneous symbols.

关 键 词:Toeplitz  operator  Harmonic  Bergman  space  quasihomogeneous  commutator  finite  rank
收稿时间:2015/10/24 0:00:00
修稿时间:3/9/2016 12:00:00 AM

Algebraic Properties of Toeplitz Operators on the Harmonic Bergman Space
Jingyu YANG,Yufeng LU and Xiaoying WANG.Algebraic Properties of Toeplitz Operators on the Harmonic Bergman Space[J].Journal of Mathematical Research with Applications,2016,36(4):495-504.
Authors:Jingyu YANG  Yufeng LU and Xiaoying WANG
Institution:School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China; Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China,Department of Mathematics, Dalian University of Technology, Liaoning 116024, P. R. China and School of Mathematics and Statistics, Chifeng University, Inner Mongolia 024000, P. R. China
Abstract:In this paper, we first investigate the finite-rank product problem of several Toeplitz operators with quasihomogeneous symbols on the harmonic Bergman space. Next, we characterize finite rank commutators and semi-commutators of two Toeplitz operators with quasihomogeneous symbols.
Keywords:Toeplitz operator  Harmonic Bergman space  quasihomogeneous  commutator  finite rank
本文献已被 CNKI 等数据库收录!
点击此处可从《数学研究及应用》浏览原始摘要信息
点击此处可从《数学研究及应用》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号