Loading [MathJax]/jax/output/SVG/config.js
Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2007, Volume 81, Issue 4, Pages 490–495
DOI: https://doi.org/10.4213/mzm3692 (Mi mzm3692) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Subspaces of $C[0,1]$ Consisting of Nonsmooth Functions

E. I. Berezhnoi

P. G. Demidov Yaroslavl State University
Full-text PDF (430 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3692
Abstract: For each Hölder space $H^\omega$, we construct an infinite-dimensional closed subspace $G$ of $C[0,1]$, isomorphic to $l^1$ and such that, for each function $x\in G$ not identically zero, its restriction to the set of positive measure does not belong to the Hölder space $H^\omega$.
Keywords: Banach space, nonsmooth function, modulus of continuity, Lebesgue measure.
Received: 25.03.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 4, Pages 435–439
DOI: https://doi.org/10.1134/S0001434607030194
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: E. I. Berezhnoi, “On Subspaces of $C[0,1]$ Consisting of Nonsmooth Functions”, Mat. Zametki, 81:4 (2007), 490–495; Math. Notes, 81:4 (2007), 435–439
Citation in format AMSBIB
\Bibitem{Ber07}
\by E.~I.~Berezhnoi
\paper On Subspaces of $C[0,1]$ Consisting of Nonsmooth Functions
\jour Mat. Zametki
\yr 2007
\vol 81
\issue 4
\pages 490--495
\mathnet{http://mi.mathnet.ru/mzm3692}
\crossref{https://doi.org/10.4213/mzm3692}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2351854}
\zmath{https://zbmath.org/?q=an:1138.46016}
\elib{https://elibrary.ru/item.asp?id=9486217}
\transl
\jour Math. Notes
\yr 2007
\vol 81
\issue 4
\pages 435--439
\crossref{https://doi.org/10.1134/S0001434607030194}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000246269000019}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248347319}
Linking options:
  • https://www.mathnet.ru/eng/mzm3692
  • https://doi.org/10.4213/mzm3692
  • https://www.mathnet.ru/eng/mzm/v81/i4/p490
    • This publication is cited in the following 2 articles:
    1. E. I. Berezhnoi, “The Resonance Theorem for Subspaces”, Math. Notes, 95:6 (2014), 753–759  mathnet  crossref  crossref  mathscinet  isi  elib
    2. Berezhnoi E. I., “The Besov Subspace Consisting of Most Non-Smooth Functions”, J. Contemp. Math. Anal., Armen. Acad. Sci., 44:3 (2009), 163–171  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:547
    Full-text PDF :226
    References:96
    First page:2
     
      Contact us:
    math-net2025_04@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025