Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 6, Pages 37–44 (Mi ivm8803)  
This article is cited in 3 scientific papers (total in 3 papers)

Behavior of a singular integral with the Hilbert kernel near a point of weak continuity of its density

R. B. Salimov

Chair of Higher Mathematics, Kazan State Architecture and Building University, Kazan, Russia
Full-text PDF (179 kB) Citations (3)
References:
PDF
HTML
Abstract: We study the behavior of a singular integral with the Hilbert kernel near a fixed point, where the density vanishes as the value inverse to the logarithm of the distance from this point to a variable one, and the integral is not necessarily convergent.
Keywords: singular integral, Hilbert kernel, Hölder condition, weak continuity.
Received: 19.03.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 6, Pages 32–38
DOI: https://doi.org/10.3103/S1066369X13060042
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: R. B. Salimov, “Behavior of a singular integral with the Hilbert kernel near a point of weak continuity of its density”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 6, 37–44; Russian Math. (Iz. VUZ), 57:6 (2013), 32–38
Citation in format AMSBIB
\Bibitem{Sal13}
\by R.~B.~Salimov
\paper Behavior of a~singular integral with the Hilbert kernel near a~point of weak continuity of its density
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 6
\pages 37--44
\mathnet{http://mi.mathnet.ru/ivm8803}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 6
\pages 32--38
\crossref{https://doi.org/10.3103/S1066369X13060042}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84878800069}
Linking options:
  • https://www.mathnet.ru/eng/ivm8803
  • https://www.mathnet.ru/eng/ivm/y2013/i6/p37
    • This publication is cited in the following 3 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)
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024