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Russian Academy of Sciences. Sbornik. Mathematics, 1994, Volume 77, Issue 1, Pages 37–55
DOI: https://doi.org/10.1070/SM1994v077n01ABEH003428 (Mi sm1071) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Weighted estimates of multidimensional singular integrals generated by the generalized shift operator

I. A. Aliev, A. D. Gadzhiev
English version PDF (761 kB) Citations (15)
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DOI: https://doi.org/10.1070/SM1994v077n01ABEH003428
Abstract: Sufficient conditions on weights are found that ensure that a multidimensional singular integral operator generated by the generalized shift operator acts boundedly from one weighted $L_p$-space into another. It is shown that in some cases the conditions are sharp.
Received: 28.12.1990
Russian version:
Matematicheskii Sbornik, 1992, Volume 183, Number 9, Pages 45–66
Bibliographic databases:
UDC: 517.968.23
MSC: 47G10, 45E10, 45P05, 47B37
Language: English
Original paper language: Russian
Citation: I. A. Aliev, A. D. Gadzhiev, “Weighted estimates of multidimensional singular integrals generated by the generalized shift operator”, Mat. Sb., 183:9 (1992), 45–66; Russian Acad. Sci. Sb. Math., 77:1 (1994), 37–55
Citation in format AMSBIB
\Bibitem{AliGad92}
\by I.~A.~Aliev, A.~D.~Gadzhiev
\paper Weighted estimates of multidimensional singular integrals generated by the~generalized shift operator
\jour Mat. Sb.
\yr 1992
\vol 183
\issue 9
\pages 45--66
\mathnet{http://mi.mathnet.ru/sm1071}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1198834}
\zmath{https://zbmath.org/?q=an:0789.42010|0772.42007}
\transl
\jour Russian Acad. Sci. Sb. Math.
\yr 1994
\vol 77
\issue 1
\pages 37--55
\crossref{https://doi.org/10.1070/SM1994v077n01ABEH003428}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994MZ10900004}
Linking options:
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  • https://doi.org/10.1070/SM1994v077n01ABEH003428
  • https://www.mathnet.ru/eng/sm/v183/i9/p45
    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:605
    Russian version PDF:162
    English version PDF:17
    References:41
    First page:1
     
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