\(L^{\infty }\)-estimates of the Bergman projection in the Lie ball of \(\mathbb C^{n}\) (Q646799)
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scientific article; zbMATH DE number 5974889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{\infty }\)-estimates of the Bergman projection in the Lie ball of \(\mathbb C^{n}\) |
scientific article; zbMATH DE number 5974889 |
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\(L^{\infty }\)-estimates of the Bergman projection in the Lie ball of \(\mathbb C^{n}\) (English)
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18 November 2011
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Summary: We consider estimates with loss for the Bergman projection of bounded symmetric domains in \(\mathbb C^n\) in their Harish-Chandra realizations. This paper is twofold: on the one hand we develop transfer methods between these bounded domains and their Cayley transform; on the other hand we give new values for \(q\) such that the Bergman projection is bounded from \(L^\infty(\mathcal B_n)\) to \(L^q(\mathcal B_n)\), where \(\mathcal B_n\) is the Lie ball in \(\mathbb C^n\).
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Bergman spaces
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Bergman projector
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Lie ball
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Lorentz cone
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interpolation
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