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Mathematics of the USSR-Sbornik, 1987, Volume 58, Issue 2, Pages 467–475
DOI: https://doi.org/10.1070/SM1987v058n02ABEH003114 (Mi sm1886) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Riesz potentials on Lorentz spaces

I. A. Kipriyanov, L. A. Ivanov
English version PDF (530 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/SM1987v058n02ABEH003114
Abstract: A special approach to Riesz potentials on Lorentz spaces is considered. The main properties of these potentials are established. An analogue of the Hardy–Littlewood–Sobolev theorem is proved for them. Finally, applications to the Cauchy problem for the Euler–Poisson–Darboux equation on Lorentz spaces are given.
Bibliography: 10 titles.
Received: 06.04.1984
Bibliographic databases:
UDC: 517.946
MSC: Primary 31C12, 53C50, 35J05; Secondary 26A33
Language: English
Original paper language: Russian
Citation: I. A. Kipriyanov, L. A. Ivanov, “Riesz potentials on Lorentz spaces”, Math. USSR-Sb., 58:2 (1987), 467–475
Citation in format AMSBIB
\Bibitem{KipIva86}
\by I.~A.~Kipriyanov, L.~A.~Ivanov
\paper Riesz potentials on Lorentz spaces
\jour Math. USSR-Sb.
\yr 1987
\vol 58
\issue 2
\pages 467--475
\mathnet{http://mi.mathnet.ru//eng/sm1886}
\crossref{https://doi.org/10.1070/SM1987v058n02ABEH003114}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=867337}
\zmath{https://zbmath.org/?q=an:0658.46022|0624.46012}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Abstract page:442
    Russian version PDF:161
    English version PDF:30
    References:52
     
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