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Journal of Siberian Federal University. Mathematics & Physics, 2015, Volume 8, Issue 1, Pages 75–85 (Mi jsfu408)  
A note on a distance function in Bergman type analytic function spaces of several variables

Romi F. Shamoyan, Sergey M. Kurilenko

Laboratory of complex and functional analysis, Bryansk State University, Bezhitskaya, 14, Bryansk, 241036, Russia
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Abstract: New sharp estimate concerning distance function in certain Bergman-type spaces of analytic functions on tube domains over symmetric cones is obtained. This is the first result of this type for tube domains over symmetric cones. New similar results in analytic mixed norm spaces on products of tube domains over symmetric cones will also be provided.
Keywords: distance estimates, tube domains, Bergman spaces.
Received: 10.08.2014
Received in revised form: 10.10.2014
Accepted: 20.11.2014
Document Type: Article
UDC: 517.55
Language: English
Citation: Romi F. Shamoyan, Sergey M. Kurilenko, “A note on a distance function in Bergman type analytic function spaces of several variables”, J. Sib. Fed. Univ. Math. Phys., 8:1 (2015), 75–85
Citation in format AMSBIB
\Bibitem{ShaKur15}
\by Romi~F.~Shamoyan, Sergey~M.~Kurilenko
\paper A note on a distance function in Bergman type analytic function spaces of~several variables
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2015
\vol 8
\issue 1
\pages 75--85
\mathnet{http://mi.mathnet.ru/jsfu408}
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