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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 11, Pages 64–68 (Mi ivm8846)  
This article is cited in 10 scientific papers (total in 10 papers)

Brief communications

On boundedness and compactness of multidimensional integral operators with homogeneous kernels

O. G. Avsyankin, F. G. Peretyat'kin

Chair of Differential and Integral Equations, Southern Federal University, 8a Mil'chakov str., Rostov-on-Don, 344090 Russia
Full-text PDF (162 kB) Citations (10)
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Abstract: We obtain sufficient conditions for the boundedness and compactness of multidimensional integral operators with homogeneous kernels acting from a weighted $L_p$-space to a weighted $L_q$-space.
Keywords: multidimensional integral operator, homogeneous kernel, boundedness, compactness.
Presented by the member of Editorial Board: S. G. Samko
Received: 10.04.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 11, Pages 57–60
DOI: https://doi.org/10.3103/S1066369X13110054
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, F. G. Peretyat'kin, “On boundedness and compactness of multidimensional integral operators with homogeneous kernels”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 11, 64–68; Russian Math. (Iz. VUZ), 57:11 (2013), 57–60
Citation in format AMSBIB
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\by O.~G.~Avsyankin, F.~G.~Peretyat'kin
\paper On boundedness and compactness of multidimensional integral operators with homogeneous kernels
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 11
\pages 64--68
\mathnet{http://mi.mathnet.ru/ivm8846}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 11
\pages 57--60
\crossref{https://doi.org/10.3103/S1066369X13110054}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84888327966}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:37
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