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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 232, Pages 298–317 (Mi tm221)  
This article is cited in 37 scientific papers (total in 37 papers)

On Integral Operators with Variable Limits of Integration

V. D. Stepanov, E. P. Ushakova

Institute for Applied Mathematics, Khabarovsk Division, Far-Eastern Branch of the Russian Academy of Sciences
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Abstract: Integral Hardy-type operators with variable limits of integration are studied. For these operators, the boundedness and compactness criteria are obtained and applications are considered to the embeddings of the weighted Sobolev spaces on a half-axis into the Lebesgue spaces.
Received in October 2000
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: V. D. Stepanov, E. P. Ushakova, “On Integral Operators with Variable Limits of Integration”, 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, 298–317; Proc. Steklov Inst. Math., 232 (2001), 290–309
Citation in format AMSBIB
\Bibitem{SteUsh01}
\by V.~D.~Stepanov, E.~P.~Ushakova
\paper On Integral Operators with Variable Limits of Integration
\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 298--317
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm221}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1851457}
\zmath{https://zbmath.org/?q=an:1007.46036}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 232
\pages 290--309
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    • This publication is cited in the following 37 articles:
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