College of Mathematics and Computer Science Chifeng University Inner Mogolia 024000 P.R.ChinaSchool of Mathematical Sciences Dalian University of Technology Liaoning 116024 P.R.China;
School of Mathematical Sciences Dalian University of Technology Liaoning 116024 P.R.China;
College of Mathematics and Computer Science Chifeng University Inner Mogolia 024000 P.R.China;
Toeplitz operator; Cutoff Harmonic Bergman space; quasihomogeneous; finite rank;