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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 243, Pages 346–351 (Mi tm438)  
Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces

S. V. Uspenskii, E. N. Vasil'eva

Moscow State University of Environmental Engineering
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Abstract: For functions defined in a cylindrical domain, oscillation conditions with respect to a distinguished variable are established and estimates for the rate of stabilization to zero are derived. The oscillation conditions are expressed in terms of special Banach spaces introduced by the authors.
Received in May 2003
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: S. V. Uspenskii, E. N. Vasil'eva, “Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces”, 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, 346–351; Proc. Steklov Inst. Math., 243 (2003), 335–340
Citation in format AMSBIB
\Bibitem{UspVas03}
\by S.~V.~Uspenskii, E.~N.~Vasil'eva
\paper Qualitative Properties of Functions that Belong to Generalized Sobolev Spaces
\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 346--351
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm438}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2054443}
\zmath{https://zbmath.org/?q=an:1086.46025}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 243
\pages 335--340
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