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Daghestan Electronic Mathematical Reports, 2020, Issue 14, Pages 22–29
DOI: https://doi.org/10.31029/demr.14.2 (Mi demr84) 		 
On Bergman-type spaces in tubular domains over symmetric cones

R. F. Shamoyan

Department of Mathematics and Physic, Bryansk State University, Bryansk, Russia
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DOI: https://doi.org/10.31029/demr.14.2
Abstract: Some properties of new Bergman-type integral operators on product of the tube domains are obtained. An integral condition in tube to get atomic-type decomposition in multifunctional analytic Bergman spaces in tube domains over symmetric cones are provided.
Keywords: Bergman-type integral operators, tube domains, analytic functions, Bergman-type spaces.
Received: 17.08.2020
Revised: 16.12.2020
Accepted: 16.12.2020
Document Type: Article
UDC: 517.98
Language: English
Citation: R. F. Shamoyan, “On Bergman-type spaces in tubular domains over symmetric cones”, Daghestan Electronic Mathematical Reports, 2020, no. 14, 22–29
Citation in format AMSBIB
\Bibitem{Sha20}
\by R.~F.~Shamoyan
\paper On Bergman-type spaces in tubular domains over symmetric cones
\jour Daghestan Electronic Mathematical Reports
\yr 2020
\issue 14
\pages 22--29
\mathnet{http://mi.mathnet.ru/demr84}
\crossref{https://doi.org/10.31029/demr.14.2}
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