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| Commutators and Semi-commutators of Monomial Toeplitz Operators on the Pluriharmonic Hardy Space |
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Citation： |
Yingying ZHANG,Xingtang DONG.Commutators and Semi-commutators of Monomial Toeplitz Operators on the Pluriharmonic Hardy Space[J].Chinese Annals of Mathematics B,2020,41(5):717~732 |
| Page view： 535
Net amount： 334 |
Authors： |
Yingying ZHANG; Xingtang DONG |
Foundation： |
This work was supported by the National Natural Science Foundation of China (Nos. 11201331,11771323). |
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| Abstract： |
In this paper, the authors completely characterize the finite rank commutator and semi-commutator of two monomial Toeplitz operators on the pluriharmonic Hardy space of the torus or the unit sphere. As a consequence, many non-trivial examples of (semi-)commuting Toeplitz operators on the pluriharmonic Hardy spaces are given. |
Keywords： |
Toeplitz operator, Pluriharmonic Hardy space, Commutator, Semicommutator, Monomial symbol |
Classification： |
47B35, 47B47 |
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