Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 3, Pages 74–79
DOI: https://doi.org/10.4213/faa3190 (Mi faa3190) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Integrability of the Fourier Transforms of Measures Concentrated on Hypersurfaces

I. A. Ikromov

A. Navoi Samarkand State University
Full-text PDF (191 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa3190
Abstract: This paper considers estimates for the Fourier transforms of signed measures concentrated on families of hypersurfaces. A theorem about the integrability of Randol-type maximal functions related to a certain class of nonconvex hypersurfaces is presented. The results are applied to study the integrability of the Fourier transforms of signed measures concentrated on certain hypersurfaces. In a special case, the exact integrability exponent of the Fourier transforms of measures is specified. The results improve a recent theorem of L. Erdős and M. Salmhofer.
Keywords: asymptotics, Fourier transforms, integrability, curvature.
Funding agency Grant number
Исполнительный комитет по координации науки и технологий при КМ Республики Узбекистан Ф-4-17
Received: 18.08.2013
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 3, Pages 218–221
DOI: https://doi.org/10.1007/s10688-015-0108-x
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: I. A. Ikromov, “Integrability of the Fourier Transforms of Measures Concentrated on Hypersurfaces”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 74–79; Funct. Anal. Appl., 49:3 (2015), 218–221
Citation in format AMSBIB
\Bibitem{Ikr15}
\by I.~A.~Ikromov
\paper Integrability of the Fourier Transforms of Measures Concentrated on Hypersurfaces
\jour Funktsional. Anal. i Prilozhen.
\yr 2015
\vol 49
\issue 3
\pages 74--79
\mathnet{http://mi.mathnet.ru/faa3190}
\crossref{https://doi.org/10.4213/faa3190}
\elib{https://elibrary.ru/item.asp?id=24849972}
\transl
\jour Funct. Anal. Appl.
\yr 2015
\vol 49
\issue 3
\pages 218--221
\crossref{https://doi.org/10.1007/s10688-015-0108-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000361557200008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84942100213}
Linking options:
  • https://www.mathnet.ru/eng/faa3190
  • https://doi.org/10.4213/faa3190
  • https://www.mathnet.ru/eng/faa/v49/i3/p74
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
    Statistics & downloads:
    Abstract page:339
    Full-text PDF :60
    References:46
    First page:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024