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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 4, Pages 41–48
DOI: https://doi.org/10.18500/1816-9791-2012-12-4-41-48 (Mi isu331) 		 
Mathematics

Necessary and sufficient conditions of belonging to the Besov–Potapov classes and Fourier coefficients with respect to multiplicative systems

R. N. Fadeev

Saratov State University
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DOI: https://doi.org/10.18500/1816-9791-2012-12-4-41-48
Abstract: In this paper we obtain necessary and sufficient conditions for a function to belong to the Besov–Potapov classes. Using functions with Fourier coefficients with respect to multiplicative systems from the class GM, we show the sharpness of some these results.
Key words: multiplicative system, Besov–Potapov classes, generalized monotonicity, Hardy–Littlewood–Paley theorem.
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: R. N. Fadeev, “Necessary and sufficient conditions of belonging to the Besov–Potapov classes and Fourier coefficients with respect to multiplicative systems”, Izv. Saratov Univ. Math. Mech. Inform., 12:4 (2012), 41–48
Citation in format AMSBIB
\Bibitem{Fad12}
\by R.~N.~Fadeev
\paper Necessary and sufficient conditions of belonging to the Besov--Potapov classes and Fourier coefficients with respect to multiplicative systems
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 4
\pages 41--48
\mathnet{http://mi.mathnet.ru/isu331}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-4-41-48}
\elib{https://elibrary.ru/item.asp?id=22271151}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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