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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2003, Volume 243, Pages 289–312 (Mi tm434)  
This article is cited in 35 scientific papers (total in 35 papers)

Weighted Estimates for the Riemann–Liouville Operators and Applications

D. V. Prokhorova, V. D. Stepanovb

a Computer Centre Far-Eastern Branch of RAS
b Department of Mathematics, Korea Advanced Institute of Science and Technology
Full-text PDF (306 kB) Citations (35)
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Abstract: Necessary and sufficient conditions for the weighted boundedness and compactness of the Riemann–Liouville operators are obtained. Applications to the solvability of the Abel nonlinear integral equations and to the embeddings of Besov-type spaces into weighted Lebesgue spaces on the semiaxis are given.
Received in May 2002
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: D. V. Prokhorov, V. D. Stepanov, “Weighted Estimates for the Riemann–Liouville Operators and Applications”, 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, 289–312; Proc. Steklov Inst. Math., 243 (2003), 278–301
Citation in format AMSBIB
\Bibitem{ProSte03}
\by D.~V.~Prokhorov, V.~D.~Stepanov
\paper Weighted Estimates for the Riemann--Liouville Operators and Applications
\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 289--312
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm434}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2054439}
\zmath{https://zbmath.org/?q=an:1081.26004}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2003
\vol 243
\pages 278--301
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    • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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