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Reports of Adyghe (Circassian) International Academy of Sciences, 2021, Volume 21, Issue 3, Pages 21–33
DOI: https://doi.org/10.47928/1726-9946-2021-21-3-21-33 (Mi aman11) 		 
MATHEMATICS

On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones

R. F. Shamoyan, E. B. Tomashevskaya

Bryansk State Technical University
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DOI: https://doi.org/10.47928/1726-9946-2021-21-3-21-33
URL: https://doklady.aman-circassian.ru/doklady-aman-t-21-3-s-21-33-issn-1726-9946
Abstract: We introduce new multifunctional mixed norm analytic Herz-type spaces in tubular domains over symmetric cones and provide new sharp embedding theorems for them. Some results are new even in case of onefunctional holomorphic spaces. Some new related sharp results for new multifunctional Bergman-type spaces will be also provided under one condition on Bergman kernel.
Keywords: Bergman spaces, Herz spaces, tubular domains over symmetric cones, embedding theorems, analytic functions.
Bibliographic databases:
Document Type: Article
UDC: 517.55+517.33
Language: English
Citation: R. F. Shamoyan, E. B. Tomashevskaya, “On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones”, Reports of AIAS, 21:3 (2021), 21–33
Citation in format AMSBIB
\Bibitem{ShaTom21}
\by R.~F.~Shamoyan, E.~B.~Tomashevskaya
\paper On some new sharp embedding theorems for multifunctional Herz-type and Bergman-type spaces in tubular domains over symmetric cones
\jour Reports of AIAS
\yr 2021
\vol 21
\issue 3
\pages 21--33
\mathnet{http://mi.mathnet.ru/aman11}
\crossref{https://doi.org/10.47928/1726-9946-2021-21-3-21-33}
\elib{https://elibrary.ru/item.asp?id=https://www.elibrary.ru/item.asp?id=46699708}
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