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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, Issue 1, Pages 64–77 (Mi vkam233)  

MATHEMATICS

On some new projection theorems and sharp estimates in Herz type spaces in bounded pseudoconvex domains

R. F. Shamoyan, A. N. Shipka

Bryansk State University, 241036, Bryansk, Bezhitskaya st., 14, Russia.

Abstract: We prove new projection theorems for new Herz type spaces in various domains $C_n$ in the unit disk, unit ball, bounded pseudoconvex domains and based on these results we provide sharp estimates for distances in such type spaces under one condition on Bergman kernel. Similar type result in such type spaces in tubular domains over symmetric cones will be also provided

Keywords: pseudoconvex and tubular domains, the unit ball, projection theorem, Herz spaces.

DOI: https://doi.org/10.18454/2079-6641-2018-21-1-64-77

Full text: PDF file (255 kB)
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Document Type: Article
UDC: 517.53+517.55
MSC: Primary 32A07; Secondary 432A10, 32A07
Received: 24.12.2017
Language: English

Citation: R. F. Shamoyan, A. N. Shipka, “On some new projection theorems and sharp estimates in Herz type spaces in bounded pseudoconvex domains”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 1, 64–77

Citation in format AMSBIB
\Bibitem{ShaShi18}
\by R.~F.~Shamoyan, A.~N.~Shipka
\paper On some new projection theorems and sharp estimates in Herz type spaces in bounded pseudoconvex domains
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 1
\pages 64--77
\mathnet{http://mi.mathnet.ru/vkam233}
\crossref{https://doi.org/10.18454/2079-6641-2018-21-1-64-77}
\elib{http://elibrary.ru/item.asp?id=32833885}


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