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The Precise Norm of a Class of Forelli-Rudin Type Operators on the Siegel Upper Half Space

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The precise Lp norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper. The main result not only implies the upper… Click to show full abstract

The precise Lp norm of a class of Forelli-Rudin type operators on the Siegel upper half space is given in this paper. The main result not only implies the upper Lp norm estimate of the Bergman projection, but also implies the precise Lp norm of the Berezin transform.

Keywords: class forelli; precise norm; rudin type; type operators; norm class; forelli rudin

Journal Title: Acta Mathematica Scientia
Year Published: 2021

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