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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2018, Number 1(21), Pages 48–63
DOI: https://doi.org/10.18454/2079-6641-2018-21-1-48-63 (Mi vkam232) 		 
MATHEMATICS

On some new estimates related with Bergman ball and Poisson integral in tubular domain and unit ball

R. F. Shamoyana, O. Mihićb

a Department of Mathematics, Bryansk State Technical University, Bryansk 241050, Russia
b Department of Mathematics, Fakultet organizacionih nauka, University of Belgrade, Jove Ilića 154, Belgrade, Serbia
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DOI: https://doi.org/10.18454/2079-6641-2018-21-1-48-63
URL: https://krasec.ru/shamoyan2018-1
Abstract: We introduce new Herz type analytic spaces based on Bergman balls in tubular domains over symmetric cones and in products of such type domains. We provide for these Herz type spaces new maximal and embedding theorems extending known results in the unit disk. In addition we define new Poisson-type integral in the unit ball and extend a known classical maximal theorem related with it. Related results for such type integrals will be given.
Keywords: tubular domains over symmetric cones, Herz type spaces, Bergman type integral operators, maximal theorems, embedding theorems, Poisson-type integral, unit ball.
Received: 24.12.2017
Bibliographic databases:
Document Type: Article
UDC: 517.53+517.55
MSC: Primary 32A07; Secondary 432A10, 32A07
Language: English
Citation: R. F. Shamoyan, O. Mihić, “On some new estimates related with Bergman ball and Poisson integral in tubular domain and unit ball”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 1(21), 48–63
Citation in format AMSBIB
\Bibitem{ShaMih18}
\by R.~F.~Shamoyan, O.~Mihi\'c
\paper On some new estimates related with Bergman ball and Poisson integral in tubular domain and unit ball
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 1(21)
\pages 48--63
\mathnet{http://mi.mathnet.ru/vkam232}
\crossref{https://doi.org/10.18454/2079-6641-2018-21-1-48-63}
\elib{https://elibrary.ru/item.asp?id=32833884}
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