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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 6, Pages 61–66 (Mi ivm8713)  
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

The behavior of a singular integral with the Hilbert kernel near a point where the density of the integral is weakly continuous

R. B. Salimov

Chair of Higher Mathematics, Kazan State University of Architecture and Engineering, Kazan, Russia
Full-text PDF (152 kB) Citations (4)
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Abstract: We study the behavior of a singular integral with the Hilbert kernel near a point where the continuous density of the integral does not satisfy the Hölder condition and, as a result, the integral, possibly, diverges.
Keywords: singular integral, Hilbert kernel, weak continuity.
Received: 27.10.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 6, Pages 52–56
DOI: https://doi.org/10.3103/S1066369X12060072
Bibliographic databases:
Document Type: Article
UDC: 517.544
Language: Russian
Citation: R. B. Salimov, “The behavior of a singular integral with the Hilbert kernel near a point where the density of the integral is weakly continuous”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 6, 61–66; Russian Math. (Iz. VUZ), 56:6 (2012), 52–56
Citation in format AMSBIB
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\by R.~B.~Salimov
\paper The behavior of a~singular integral with the Hilbert kernel near a~point where the density of the integral is weakly continuous
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 6
\pages 61--66
\mathnet{http://mi.mathnet.ru/ivm8713}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=3076922}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 6
\pages 52--56
\crossref{https://doi.org/10.3103/S1066369X12060072}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866296854}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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