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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 4(25), Pages 87–95 (Mi pfmt415)  
MATHEMATICS

On sharp traces of some new analytic Herz-type spaces in Siegel domains in $\mathbb{C}^n$

R. F. Shamoyan, O. A. Zaytseva

Bryansk State University
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Abstract: We provide complete characterizations of traces of some new analytic spaces of Herz-type in polydisk, unit ball and tubular domains over symmetric cones and bounded pseudoconvex domains with smooth boundary under additional natural condition on kernel. Our results extend previously known assertions.
Keywords: analytic functions, Herz-type spaces, polydisk, tubular domains, pseudoconvex domains.
Funding agency Grant number
Russian Foundation for Basic Research 13-353 01-97508
Ministry of Education and Science of the Russian Federation 1.1704.2014K
This work was supported by the Russian Foundation for Basic Research (grant 13-353 01-97508) and by the Ministry of Education and Science of the Russian Federation (grant 1.1704.2014K).
Received: 09.09.2015
Document Type: Article
UDC: 517.553
MSC: Primary 42B15; Secondary 42B30
Language: English
Citation: R. F. Shamoyan, O. A. Zaytseva, “On sharp traces of some new analytic Herz-type spaces in Siegel domains in $\mathbb{C}^n$”, PFMT, 2015, no. 4(25), 87–95
Citation in format AMSBIB
\Bibitem{ShaZay15}
\by R.~F.~Shamoyan, O.~A.~Zaytseva
\paper On sharp traces of some new analytic Herz-type spaces in Siegel domains in~$\mathbb{C}^n$
\jour PFMT
\yr 2015
\issue 4(25)
\pages 87--95
\mathnet{http://mi.mathnet.ru/pfmt415}
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