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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 232, Pages 33–44 (Mi tm202)  
This article is cited in 1 scientific paper (total in 1 paper)

Phillips-Type Theorems for Nikol'skii and Certain Other Function Spaces

S. S. Ajiev
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Abstract: Analogues of the Phillips theorem are obtained for anisotropic Nikol'skii, Besov, and Lizorkin–Triebel spaces of functions defined on irregular domains (in particular, on open sets), as well as for the spaces, closely related to the above spaces, that are defined by local best approximations by polynomials in different metrics (including the spaces of DeVore and Sharpley and BMO).
Received in October 2000
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. S. Ajiev, “Phillips-Type Theorems for Nikol'skii and Certain Other Function Spaces”, Function spaces, harmonic analysis, and differential equations, Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 232, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 33–44; Proc. Steklov Inst. Math., 232 (2001), 27–38
Citation in format AMSBIB
\Bibitem{Aji01}
\by S.~S.~Ajiev
\paper Phillips-Type Theorems for Nikol'skii and Certain Other Function Spaces
\inbook Function spaces, harmonic analysis, and differential equations
\bookinfo Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 232
\pages 33--44
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm202}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1851438}
\zmath{https://zbmath.org/?q=an:1009.46015}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 232
\pages 27--38
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