Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2023, Volume 323, Pages 137–166
DOI: https://doi.org/10.4213/tm4363 (Mi tm4363) 		 
On the Regularity of Characteristic Functions of Weakly Exterior Thick Domains

Winfried Sickel

Friedrich Schiller University Jena, 07737 Jena, Germany
Full-text PDF (551 kB) First page
References:
PDF
HTML
DOI: https://doi.org/10.4213/tm4363
Abstract: Let $E$ be a domain in $\mathbb R^d$. We investigate the regularity of the characteristic function $\mathcal X_E$ depending on the behavior of the $\delta $-neighborhoods of the boundary of $E$. The regularity is measured in terms of the Nikol'skii–Besov and Lizorkin–Triebel spaces.
Keywords: Lizorkin–Triebel spaces, Nikol'skii–Besov spaces, characterization by differences, Haar wavelet decomposition, snowflake domain, regular domains, weakly exterior thick domains, thick domains, $(\varepsilon,\delta)$-domains, quasiballs.
Funding agency
This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.
Received: December 23, 2022
Revised: July 10, 2023
Accepted: August 1, 2023
English version:
Proceedings of the Steklov Institute of Mathematics, 2023, Volume 323, Pages 130–158
DOI: https://doi.org/10.1134/S0081543823050085
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: Winfried Sickel, “On the Regularity of Characteristic Functions of Weakly Exterior Thick Domains”, Theory of Functions of Several Real Variables and Its Applications, Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday, Trudy Mat. Inst. Steklova, 323, Steklov Mathematical Institute of RAS, Moscow, 2023, 137–166; Proc. Steklov Inst. Math., 323 (2023), 130–158
Citation in format AMSBIB
\Bibitem{Sic23}
\by Winfried~Sickel
\paper On the Regularity of Characteristic Functions of Weakly Exterior Thick Domains
\inbook Theory of Functions of Several Real Variables and Its Applications
\bookinfo Collected papers. Dedicated to Oleg Vladimirovich Besov on the occasion of his 90th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2023
\vol 323
\pages 137--166
\publ Steklov Mathematical Institute of RAS
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm4363}
\crossref{https://doi.org/10.4213/tm4363}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2023
\vol 323
\pages 130--158
\crossref{https://doi.org/10.1134/S0081543823050085}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85186926565}
Linking options:
  • https://www.mathnet.ru/eng/tm4363
  • https://doi.org/10.4213/tm4363
  • https://www.mathnet.ru/eng/tm/v323/p137
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:86
    Full-text PDF :1
    References:12
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024