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, 2016, Volume 449, Pages 235–260 (Mi znsl6330)  
This article is cited in 1 scientific paper (total in 1 paper)

Ñondensers and equivalent open sets on a Riemann surface

P. A. Pugach, V. A. Shlyk

Vladivostok Branch of Russian Customs Academy, Vladivostok, Russia
Full-text PDF (290 kB) Citations (1)
References:
PDF
HTML
Abstract: Condensers on the compact closure of an open set on a Riemann surface are studied. The equality of the capacity and module of condenser is proved. The definition of NED-sets on the Riemann surface is given and it is proved that NED-sets do not affect the condenser module. Also, a criterion of equivalence of open sets on the Riemann surface is established.
Key words and phrases: condenser capacity, condenser module, Riemann surface.
Received: 28.07.2016
English version:
Journal of Mathematical Sciences (New York), 2017, Volume 225, Issue 6, Pages 994–1011
DOI: https://doi.org/10.1007/s10958-017-3511-4
Bibliographic databases:
Document Type: Article
UDC: 517.54
Language: Russian
Citation: P. A. Pugach, V. A. Shlyk, “Ñondensers and equivalent open sets on a Riemann surface”, Analytical theory of numbers and theory of functions. Part 32, Zap. Nauchn. Sem. POMI, 449, POMI, St. Petersburg, 2016, 235–260; J. Math. Sci. (N. Y.), 225:6 (2017), 994–1011
Citation in format AMSBIB
\Bibitem{PugShl16}
\by P.~A.~Pugach, V.~A.~Shlyk
\paper Ñondensers and equivalent open sets on a~Riemann surface
\inbook Analytical theory of numbers and theory of functions. Part~32
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 449
\pages 235--260
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6330}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3580139}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2017
\vol 225
\issue 6
\pages 994--1011
\crossref{https://doi.org/10.1007/s10958-017-3511-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85027311055}
Linking options:
  • https://www.mathnet.ru/eng/znsl6330
  • https://www.mathnet.ru/eng/znsl/v449/p235
    • 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
    		Çàïèñêè íàó÷íûõ ñåìèíàðîâ ÏÎÌÈ
    Statistics & downloads:
    Abstract page:243
    Full-text PDF :44
    References:51
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024