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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 248, Pages 285–293 (Mi tm138)  
Qualitative Investigation of Functions in Generalized Liouville–Sobolev Function Spaces $L_p^l(E_n)$ at Infinity

S. V. Uspenskii, E. N. Vasil'eva

Moscow State University of Environmental Engineering
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Abstract: The asymptotic properties, as $r=|x|$ tends to infinity, of functions from $L_p^l(E_n)$ with fractional indices $l=(l_1,\dots , l_n)$ are described with the use of spherical means. Conditions under which spherical means oscillate on $[1,\infty )$ and converge at infinity are obtained.
Received in November 2004
Bibliographic databases:
UDC: 517.948
Language: Russian
Citation: S. V. Uspenskii, E. N. Vasil'eva, “Qualitative Investigation of Functions in Generalized Liouville–Sobolev Function Spaces $L_p^l(E_n)$ at Infinity”, Studies on function theory and differential equations, Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 248, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 285–293; Proc. Steklov Inst. Math., 248 (2005), 278–286
Citation in format AMSBIB
\Bibitem{UspVas05}
\by S.~V.~Uspenskii, E.~N.~Vasil'eva
\paper Qualitative Investigation of Functions in Generalized Liouville--Sobolev Function Spaces $L_p^l(E_n)$ at Infinity
\inbook Studies on function theory and differential equations
\bookinfo Collected papers. Dedicated to the 100th birthday of academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2005
\vol 248
\pages 285--293
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm138}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2165935}
\zmath{https://zbmath.org/?q=an:1129.46029}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 248
\pages 278--286
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