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, 2019, Volume 53, Issue 4, Pages 27–37
DOI: https://doi.org/10.4213/faa3645
(Mi faa3645)
 

This article is cited in 2 scientific papers (total in 2 papers)

On the stricture of normal Hausdorff operators on Lebesgue spaces

A. R. Mirotin

Gomel State University named after Francisk Skorina
Full-text PDF (266 kB) Citations (2)
References:
Abstract: We consider a generalization of Hausdorff operator and introduce the notion of the symbol of such an operator. Using this notion we describe under some natural conditions the structure and investigate important properties (such as invertibility, spectrum, norm, and compactness) of normal generalized Hausdorff operators on Lebesgue spaces over $\mathbb{R}^n.$ The examples of Cesàro operators are considered.
Keywords: Hausdorff operator, Cesàro operator, symbol of an operator, normal operator, spectrum, compact operator.
Received: 18.01.2019
Revised: 25.02.2019
Accepted: 16.05.2019
Bibliographic databases:
Document Type: Article
UDC: 517.983.3
Language: Russian
Citation: A. R. Mirotin, “On the stricture of normal Hausdorff operators on Lebesgue spaces”, Funktsional. Anal. i Prilozhen., 53:4 (2019), 27–37
Citation in format AMSBIB
\Bibitem{Mir19}
\by A.~R.~Mirotin
\paper On the stricture of normal Hausdorff operators on Lebesgue spaces
\jour Funktsional. Anal. i Prilozhen.
\yr 2019
\vol 53
\issue 4
\pages 27--37
\mathnet{http://mi.mathnet.ru/faa3645}
\crossref{https://doi.org/10.4213/faa3645}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4043291}
Linking options:
  • https://www.mathnet.ru/eng/faa3645
  • https://doi.org/10.4213/faa3645
  • https://www.mathnet.ru/eng/faa/v53/i4/p27
  • This publication is cited in the following 2 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:298
    Full-text PDF :40
    References:31
    First page:21
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024