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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 1, Pages 127–143
DOI: https://doi.org/10.1070/IM1976v010n01ABEH001682 (Mi im2102) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a class of singular integral operators with kernels of polar-logarithmic type

N. L. Vasilevskii
English version PDF (686 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM1976v010n01ABEH001682
Abstract: Integral operators with polar-logarithmic kernels which arise in connection with a problem of F. D. Gahov are studied in the space $L_p(\mathscr L)$. Necessary and sufficient conditions that the operator be Noetherian and a formula for the index of the operators are obtained. A complete solution of Gahov's problem is obtained.
Bibliography: 10 titles.
Received: 19.04.1974
Bibliographic databases:
UDC: 517.948
MSC: Primary 47G05; Secondary 30A88
Language: English
Original paper language: Russian
Citation: N. L. Vasilevskii, “On a class of singular integral operators with kernels of polar-logarithmic type”, Math. USSR-Izv., 10:1 (1976), 127–143
Citation in format AMSBIB
\Bibitem{Vas76}
\by N.~L.~Vasilevskii
\paper On a~class of singular integral operators with kernels of polar-logarithmic type
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 1
\pages 127--143
\mathnet{http://mi.mathnet.ru//eng/im2102}
\crossref{https://doi.org/10.1070/IM1976v010n01ABEH001682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=415431}
\zmath{https://zbmath.org/?q=an:0325.47036}
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  • https://www.mathnet.ru/eng/im/v40/i1/p133
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:369
    Russian version PDF:102
    English version PDF:16
    References:70
    First page:1
     
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