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- W4287663622 abstract "This is our third work on Bergman-type operator over bounded domains. In the previous two articles, we systematically study the boundedness, compactness and Schatten membership of Bergman-type on the Hilbert unit ball. In the present paper, we investigate singular integral operators induced by the Bergman kernel and Szego kernel on the irreducible bounded symmetric domain in its standard Harish-Chandra realization. We completely characterize when Bergman-type operators and Szego-type operators belong to Schatten class operator ideals by several analytic numerical invariants of the bounded symmetric domain. These results generalize a recent result on the Hilbert unit ball due to the author and his coauthor but also cover all irreducible bounded symmetric domains. Moreover, we obtain two trace formulae and a new integral estimate related to the Forelli-Rudin estimate. The key ingredient of the proofs involves the function theory on the bounded symmetric domain and the spectrum estimate of Bergman-type and and Szego-type operators." @default.
- W4287663622 created "2022-07-25" @default.
- W4287663622 creator A5064367102 @default.
- W4287663622 date "2020-09-21" @default.
- W4287663622 modified "2023-09-24" @default.
- W4287663622 title "Schatten class Bergman-type and Szego-type operators on bounded symmetric domains" @default.
- W4287663622 hasPublicationYear "2020" @default.
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