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, 2023, Number 7, Pages 23–33
DOI: https://doi.org/10.26907/0021-3446-2023-7-23-33 (Mi ivm9895) 		 
On estimates for maximal operators

I. A. Ikromova, A. M. Barakayevb

a V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan, 15 University str., Samarkand, 140104 Republic of Uzbekistan
b Samarkand state University, 15 University blvd., Samarkand, 140104 Republic of Uzbekistan
Full-text PDF (388 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2023-7-23-33
Abstract: The paper deals with boundedness problem for maximal operators associated to hypersurfaces in the space of integrable functions with degree p. A necessary condition for boundedness is given in the space of square-integrable functions in the case one nonvanishing principal curvature. A criterion for the boundedness of the maximal operators in the space of square-integrable functions is obtained for a partial class of convex hypersurfaces.
Keywords: maximal operator, Fourier transform, hypersurface, boundedness.
Received: 29.03.2022
Revised: 19.04.2023
Accepted: 29.05.2023
Document Type: Article
UDC: 517.518
Language: Russian
Citation: I. A. Ikromov, A. M. Barakayev, “On estimates for maximal operators”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7, 23–33
Citation in format AMSBIB
\Bibitem{IkrBar23}
\by I.~A.~Ikromov, A.~M.~Barakayev
\paper On estimates for maximal operators
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 7
\pages 23--33
\mathnet{http://mi.mathnet.ru/ivm9895}
\crossref{https://doi.org/10.26907/0021-3446-2023-7-23-33}
Linking options:
  • https://www.mathnet.ru/eng/ivm9895
  • https://www.mathnet.ru/eng/ivm/y2023/i7/p23
    • 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)
    Statistics & downloads:
    Abstract page:66
    Full-text PDF :10
    References:26
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024