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ON INTEGRAL OPERATORS OF BERGMAN TYPEON THE UNIT BALL OFRn

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CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

We prove the boundedness of Bergman type integral operators in mixed norm spaces over the unit ball of Rn. Bounded harmonic projections are found in the mixed norm and Lipschitz spaces. Corresponding Forelli–Rudin type theorems are proved.

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