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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 243, Pages 313–319 (Mi tm435)  
This article is cited in 2 scientific papers (total in 2 papers)

Embedding Theorems for Besov Spaces over Multiplicative Price Bases

E. S. Smailov, Z. R. Suleimenova

E. A. Buketov Karaganda State University
Full-text PDF (165 kB) Citations (2)
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Abstract: The theory of Fourier series in multiplicative systems is one of intensively developing directions in harmonic analysis. In this paper, a Besov space over the multiplicative Price basis is introduced. Equivalent norms of the elements of this space are found, and a sharp embedding theorem of different metrics is proved.
Received in July 2003
Bibliographic databases:
UDC: 517.518.3
Language: Russian
Citation: E. S. Smailov, Z. R. Suleimenova, “Embedding Theorems for Besov Spaces over Multiplicative Price Bases”, Function spaces, approximations, and differential equations, Collected papers. Dedicated to the 70th birthday of Oleg Vladimirovich Besov, corresponding member of RAS, Trudy Mat. Inst. Steklova, 243, Nauka, MAIK «Nauka/Inteperiodika», M., 2003, 313–319; Proc. Steklov Inst. Math., 243 (2003), 302–308
Citation in format AMSBIB
\Bibitem{SmaSul03}
\by E.~S.~Smailov, Z.~R.~Suleimenova
\paper Embedding Theorems for Besov Spaces over Multiplicative Price Bases
\inbook Function spaces, approximations, and differential equations
\bookinfo Collected papers. Dedicated to the 70th birthday of Oleg Vladimirovich Besov, corresponding member of RAS
\serial Trudy Mat. Inst. Steklova
\yr 2003
\vol 243
\pages 313--319
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm435}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2054440}
\zmath{https://zbmath.org/?q=an:1086.46022}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 243
\pages 302--308
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