| Algebraic Properties of Little-Hankel Operators on Cutoff Harmonic Bergman Space |
| Received:October 13, 2021 Revised:January 12, 2022 |
| Key Words:
little-Hankel operator cutoff Harmonic Bergman space commutator finite rank semi-commutator
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| Fund Project: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). |
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| Abstract: |
| 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 $b_{n}^{2}$. We obtain the conclusions that the commutator and semi-commutator of little-Hankel operators with qusihomogeneous symbols are finite rank operators. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.04.005 |
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