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Mathematics of the USSR-Sbornik, 1976, Volume 30, Issue 4, Pages 515–537
DOI: https://doi.org/10.1070/SM1976v030n04ABEH002286 (Mi sm2920) 		 
This article is cited in 13 scientific papers (total in 13 papers)

On bisingular integral operators with discontinuous coefficients

R. V. Duduchava
English version PDF (1464 kB) Citations (13) Russian version article
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DOI: https://doi.org/10.1070/SM1976v030n04ABEH002286
Abstract: Necessary and sufficient conditions are obtained for bisingular integral operators on piecewise smooth Lyapunov curves with discontinuous coefficients in the $L_p$-spaces with a weight to be Noetherian. The Banach algebra generated by these operators is studied; a regularizer is constructed in the case of continuous coefficients.
Bibliography: 40 titles.
Received: 26.02.1975
Bibliographic databases:
UDC: 517.43
MSC: Primary 47G05; Secondary 47B30, 46L20
Language: English
Original paper language: Russian
Citation: R. V. Duduchava, “On bisingular integral operators with discontinuous coefficients”, Math. USSR-Sb., 30:4 (1976), 515–537
Citation in format AMSBIB
\Bibitem{Dud76}
\by R.~V.~Duduchava
\paper On bisingular integral operators with discontinuous coefficients
\jour Math. USSR-Sb.
\yr 1976
\vol 30
\issue 4
\pages 515--537
\mathnet{http://mi.mathnet.ru//eng/sm2920}
\crossref{https://doi.org/10.1070/SM1976v030n04ABEH002286}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=487595}
\zmath{https://zbmath.org/?q=an:0341.47032}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1976FU24400006}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:152
    English version PDF:34
    References:92
     
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