Ye. G. Tonoyan, “On integral operators of Bergman type on the unit ball of <nobr>$ \mathbb{R}^n$</nobr>”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, Issue 3,Pages <nobr>23

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Mathematics

On integral operators of Bergman type on the unit ball of $ \mathbb{R}^n$

Ye. G. Tonoyan

Yerevan State University

Abstract: We prove the boundedness of Bergman type integral operators in mixed norm spaces over the unit ball of $ \mathbb{R}^n$. Bounded harmonic projections are found in the mixed norm and Lipschitz spaces. Corresponding Forelli–Rudin type theorems are proved.

Keywords: unit ball in $ \mathbb{R}^n$, harmonic function, mixed norm space, Bergman space, Bergman operator, projection, Lipschitz space.

MSC: Primary 31B10; Secondary 31B05

Received: 27.04.2015
Accepted: 21.05.2015

Language: English