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

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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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