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Ufimsk. Mat. Zh., 2014, Volume 6, Issue 2, Pages 26–35 (Mi ufa240)  
This article is cited in 1 scientific paper (total in 1 paper)

Splitting of some spaces of analytic functions

V. N. Dilnyi

Ivan Franko National University of L'viv, L'viv, Ukraine

Abstract: For the Paley–Wiener space and the weighted Hardy spaces in the halfplane we consider problems on splitting a function into a sum of two, each being “large” only in their domain. For the first space the problem is solved completely, for the second we obtain sufficient conditions of solvability.

Keywords: weighted Hardy space, Paley–Wiener theorem, angular boundary values, splitting.

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English version:
Ufa Mathematical Journal, 2014, 6:2, 25–34 (PDF, 354 kB); https://doi.org/10.13108/2014-6-2-25

UDC: 517.5
MSC: 30D15, 30H10
Received: 17.03.2014

Citation: V. N. Dilnyi, “Splitting of some spaces of analytic functions”, Ufimsk. Mat. Zh., 6:2 (2014), 26–35; Ufa Math. J., 6:2 (2014), 25–34

Citation in format AMSBIB
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\by V.~N.~Dilnyi
\paper Splitting of some spaces of analytic functions
\jour Ufimsk. Mat. Zh.
\yr 2014
\vol 6
\issue 2
\pages 26--35
\mathnet{http://mi.mathnet.ru/ufa240}
\elib{http://elibrary.ru/item.asp?id=21596972}
\transl
\jour Ufa Math. J.
\yr 2014
\vol 6
\issue 2
\pages 25--34
\crossref{https://doi.org/10.13108/2014-6-2-25}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928174909}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. B. V. Vynnyt'skyi, V. L. Sharan, I. B. Sheparovych, “On an interpolation problem in the class of functions of exponential type in a half-plane”, Ufa Math. J., 11:1 (2019), 19–26  mathnet  crossref  isi
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