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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 250, Pages 192–197 (Mi tm37)  
This article is cited in 3 scientific papers (total in 3 papers)

The Space of Weighted Bessel Potentials

L. N. Lyakhova, M. V. Polovinkinab

a Voronezh State University
b Voronezh State Technological Academy
Full-text PDF (171 kB) Citations (3)
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Abstract: A fractional weighted integro-differentiation operator is considered. The kernel of this operator is determined by applying the Fourier–Bessel integral transform. The space of weighted Bessel potentials is described on the basis of the Stein–Lizorkin approach; the description uses B-hypersingular integrals and weighted Riesz potentials that were introduced earlier by one of the authors.
Received in January 2005
Bibliographic databases:
UDC: 517.518
Language: Russian
Citation: L. N. Lyakhov, M. V. Polovinkina, “The Space of Weighted Bessel Potentials”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 250, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 192–197; Proc. Steklov Inst. Math., 250 (2005), 178–182
Citation in format AMSBIB
\Bibitem{LyaPol05}
\by L.~N.~Lyakhov, M.~V.~Polovinkina
\paper The Space of Weighted Bessel Potentials
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2005
\vol 250
\pages 192--197
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm37}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2200914}
\zmath{https://zbmath.org/?q=an:1127.47044}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 250
\pages 178--182
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    Citing articles in Google Scholar: Russian citations, English citations
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