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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 243, Pages 53–65 (Mi tm420)  
This article is cited in 14 scientific papers (total in 14 papers)

Characterizations of the Nikol'skii–Besov and Lizorkin–Triebel Function Spaces of Mixed Smoothness

D. B. Bazarkhanov

Institute of Mathematics and Mechanics, Kazakhstan National Academy of Sciences
Full-text PDF (240 kB) Citations (14)
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Abstract: The Nikol'skii–Besov and Lizorkin–Triebel function spaces of mixed positive smoothness are characterized in terms of fairly general (including local) averages and Peetre maximal functions. Atomic decompositions for functions from these spaces are also obtained.
Received in March 2003
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: D. B. Bazarkhanov, “Characterizations of the Nikol'skii–Besov and Lizorkin–Triebel Function Spaces of Mixed Smoothness”, 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, 53–65; Proc. Steklov Inst. Math., 243 (2003), 46–58
Citation in format AMSBIB
\Bibitem{Baz03}
\by D.~B.~Bazarkhanov
\paper Characterizations of the Nikol'skii--Besov and Lizorkin--Triebel Function Spaces of Mixed Smoothness
\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 53--65
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm420}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2049462}
\zmath{https://zbmath.org/?q=an:1090.46025}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 243
\pages 46--58
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    • This publication is cited in the following 14 articles:
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