We characterize Schatten class membership of positive Toeplitz operators defined on the Bergman spaces over the Siegel upper half-space in terms of averaging functions and Berezin transforms in the range of \(0<p<\infty \).
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The author is grateful to the referee for pointing out a few typos. He also wishes to express his gratitude to his tutor Professor Congwen Liu for warm encouragement.
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This work was supported by the National Natural Science Foundation of China Grant 11971453.
Communicated by Adrian Constantin.
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Si, J. Schatten class positive Toeplitz operators on Bergman spaces of the Siegel upper half-space. Monatsh Math 196, 335–355 (2021). https://doi.org/10.1007/s00605-021-01609-6
- Toeplitz operators
- Schatten classes
- Bergman spaces
- Siegel upper half-space
- Berezin transform
Mathematics Subject Classification
- Primary 47B35
- Secondary 32A36