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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2015, Issue 3, Pages 23–30
(Mi uzeru32)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
Received: 27.04.2015
Accepted: 21.05.2015
Citation:
Ye. G. Tonoyan, “On integral operators of Bergman type on the unit ball of $ \mathbb{R}^n$”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 3, 23–30
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https://www.mathnet.ru/eng/uzeru32 https://www.mathnet.ru/eng/uzeru/y2015/i3/p23
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| Abstract page: | 101 | | Full-text PDF : | 37 | | References: | 53 |
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