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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 2, Pages 371–392
DOI: https://doi.org/10.1070/IM1976v010n02ABEH001699 (Mi im2116) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Convolution integral operators on a quadrant with discontinuous symbols

R. V. Duduchava
English version PDF (1039 kB) Citations (5) Russian version article
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DOI: https://doi.org/10.1070/IM1976v010n02ABEH001699
Abstract: Necessary and sufficient conditions are obtained for convolution integral operators on a quadrant with discontinuous symbols to be Noetherian in $L_p$-spaces and in Sobolev–Slobodeckii spaces. The algebra generated by these operators is studied, and a regularizer is constructed in the case of continuity of the symbol.
Bibliography: 18 titles.
Received: 26.02.1975
Bibliographic databases:
UDC: 517.9
MSC: Primary 47G05, 47B30; Secondary 45E10
Language: English
Original paper language: Russian
Citation: R. V. Duduchava, “Convolution integral operators on a quadrant with discontinuous symbols”, Math. USSR-Izv., 10:2 (1976), 371–392
Citation in format AMSBIB
\Bibitem{Dud76}
\by R.~V.~Duduchava
\paper Convolution integral operators on a~quadrant with discontinuous symbols
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 2
\pages 371--392
\mathnet{http://mi.mathnet.ru//eng/im2116}
\crossref{https://doi.org/10.1070/IM1976v010n02ABEH001699}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=412875}
\zmath{https://zbmath.org/?q=an:0329.47015}
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  • https://www.mathnet.ru/eng/im/v40/i2/p388
    • This publication is cited in the following 5 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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