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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2017, Number 3(19), Pages 25–49
DOI: https://doi.org/10.18454/2079-6641-2017-19-3-25-49 (Mi vkam210) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On some sharp theorems on distance function in Hardy type, Bergman type and Herz type analytic classes

R. F. Shamoyan, S. P. Maksakov

I. G. Petrovsky Bryansk State University
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DOI: https://doi.org/10.18454/2079-6641-2017-19-3-25-49
Abstract: We present some new sharp estimates concerning distance function in some new mixed norm and Lizorkin–Triebel type spaces in the unit ball.This leads at the same time to direct generalizations of our recent results on extremal problems in such Bergman type spaces. In addition new sharp results in this direction in Hardy-Morrey, and some new weighted Hardy classes in the unit ball and mixed norm Hardy type spaces and Herz type spaces in polyball will be provided and discussed.
Keywords: extremal problems, analytic functions, Bergman type spaces, unit ball, Hardy type spaces, Herz type spaces, Mockenhoupt type weights, Hardy–Morrey type spaces.
Received: 06.05.2017
Bibliographic databases:
Document Type: Article
UDC: 517.53+517.55
MSC: Primary 42B15; Secondary 42B30
Language: English
Citation: R. F. Shamoyan, S. P. Maksakov, “On some sharp theorems on distance function in Hardy type, Bergman type and Herz type analytic classes”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2017, no. 3(19), 25–49
Citation in format AMSBIB
\Bibitem{ShaMak17}
\by R.~F.~Shamoyan, S.~P.~Maksakov
\paper On some sharp theorems on distance function in Hardy type, Bergman type and Herz type analytic classes
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2017
\issue 3(19)
\pages 25--49
\mathnet{http://mi.mathnet.ru/vkam210}
\crossref{https://doi.org/10.18454/2079-6641-2017-19-3-25-49}
\elib{https://elibrary.ru/item.asp?id=30467945}
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    • This publication is cited in the following 1 articles:
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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