Schatten class Bergman-type and Szegö-type operators on bounded symmetric domains
نویسندگان
چکیده
In this paper, we investigate singular integral operators induced by the Bergman kernel and Szegö on irreducible bounded symmetric domain in its standard Harish-Chandra realization. We completely characterize when Bergman-type Szegö-type belong to Schatten class operator ideals several analytic numerical invariants of domain. These results not only generalize a recent result Hilbert unit ball due author his coauthor but also cover all domains. Moreover, obtain two trace formulae new estimate related Forelli-Rudin estimate. The key ingredient proofs involves function theory spectrum operators.
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2022
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.1016/j.aim.2022.108314