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

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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 2015, Issue 3, Pages 23–30 (Mi uzeru32)

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

Full-text PDF (181 kB) Citations (1)

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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

Document Type: Article

MSC: Primary 31B10; Secondary 31B05

Language: English

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

Citation in format AMSBIB

\Bibitem{Ton15}

\by Ye.~G.~Tonoyan

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

\jour Proceedings of the YSU, Physical  and Mathematical Sciences

\yr 2015

\issue 3

\pages 23--30

\mathnet{http://mi.mathnet.ru/uzeru32}

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https://www.mathnet.ru/eng/uzeru32

https://www.mathnet.ru/eng/uzeru/y2015/i3/p23

This publication is cited in the following 1 articles:

Avetisyan K.L., “Poisson-Bergman Type Operators on Lipschitz and Mixed Norm Spaces in the Real Ball”, Lobachevskii J. Math., 40:8, SI (2019), 1025–1033

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Proceedings of the Yerevan State University, series Physical and Mathematical Sciences

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Abstract page:	115
Full-text PDF :	46
References:	56

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