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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)
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1976, Volume 40, Issue 1, Pages 133–151
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”, Izv. Akad. Nauk SSSR Ser. Mat., 40:1 (1976), 133–151; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1976
\vol 40
\issue 1
\pages 133--151
\mathnet{http://mi.mathnet.ru/im2102}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=415431}
\zmath{https://zbmath.org/?q=an:0325.47036}
\transl
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 1
\pages 127--143
\crossref{https://doi.org/10.1070/IM1976v010n01ABEH001682}
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    • 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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    Russian version PDF:95
    English version PDF:6
    References:58
    First page:1
     
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