Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find






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


Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 85–95
DOI: https://doi.org/10.33048/semi.2019.16.004
(Mi semr1053)
 

Real, complex and functional analysis

On the convergence of the Luzin integral and its analogues

K. I. Knizhova, I. V. Podviginba

a Novosibirsk State University, 1, Pirogova str., Novosibirsk, 630090, Russia
b Sobolev Institute of Mathematics, 4, pr. Koptyuga, 630090, Novosibirsk, Russia
References:
Abstract: We study the convergence at a fixed point of the singular integral of Luzin and its analogues. We present sufficient conditions in terms of the Fourier coefficients of the given integrable function for such convergence.
Keywords: trigonometric conjugate function, trigonometric conjugate series, Luzin integral.
Received December 6, 2018, published January 27, 2019
Bibliographic databases:
Document Type: Article
UDC: 517.518.454, 517.518.13
MSC: 42A50
Language: Russian
Citation: K. I. Knizhov, I. V. Podvigin, “On the convergence of the Luzin integral and its analogues”, Sib. Èlektron. Mat. Izv., 16 (2019), 85–95
Citation in format AMSBIB
\Bibitem{KniPod19}
\by K.~I.~Knizhov, I.~V.~Podvigin
\paper On the convergence of the Luzin integral and its analogues
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 85--95
\mathnet{http://mi.mathnet.ru/semr1053}
\crossref{https://doi.org/10.33048/semi.2019.16.004}
Linking options:
  • https://www.mathnet.ru/eng/semr1053
  • https://www.mathnet.ru/eng/semr/v16/p85
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:323
    Full-text PDF :174
    References:38
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024