Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2011, Volume 389, Pages 162–190 (Mi znsl4124)  
This article is cited in 1 scientific paper (total in 1 paper)

Uniform approximation by harmonic functions on compact subsets of $\mathbb R^3$

M. Ya. Mazalov

Military Academy of Air Defence Forces of Russia Federation named after A. M. Vasilevskii, Smolensk, Russia
Full-text PDF (701 kB) Citations (1)
References:
PDF
HTML
Abstract: We consider uniform approximation by harmonic functions on compact subsets in $\mathbb R^3$. Under an additional assumption that an approximated function is Dini-continuous, we prove a natural analog of Vitushkin's well-known uniform approximation lemma for an individual analytic function.
Key words and phrases: uniform approximation, harmonic function, capacity, Virtushkin scheme.
Received: 11.06.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 182, Issue 5, Pages 674–689
DOI: https://doi.org/10.1007/s10958-012-0772-9
Bibliographic databases:
Document Type: Article
UDC: 517.538.5+517.956.2
Language: Russian
Citation: M. Ya. Mazalov, “Uniform approximation by harmonic functions on compact subsets of $\mathbb R^3$”, Investigations on linear operators and function theory. Part 39, Zap. Nauchn. Sem. POMI, 389, POMI, St. Petersburg, 2011, 162–190; J. Math. Sci. (N. Y.), 182:5 (2012), 674–689
Citation in format AMSBIB
\Bibitem{Maz11}
\by M.~Ya.~Mazalov
\paper Uniform approximation by harmonic functions on compact subsets of~$\mathbb R^3$
\inbook Investigations on linear operators and function theory. Part~39
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 389
\pages 162--190
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4124}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 182
\issue 5
\pages 674--689
\crossref{https://doi.org/10.1007/s10958-012-0772-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860369653}
Linking options:
  • https://www.mathnet.ru/eng/znsl4124
  • https://www.mathnet.ru/eng/znsl/v389/p162
    • 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
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:322
    Full-text PDF :97
    References:84
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024