Ufa Mathematical Journal
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


Ufimsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Ufa Mathematical Journal, 2017, Volume 9, Issue 1, Pages 3–17
DOI: https://doi.org/10.13108/2017-9-1-3 (Mi ufa360) 		 
Conformal mappings of circular domains on finitely-connected non-Smirnov type domains

F. G. Avkhadieva, P. L. Shabalinb

a Kazan Federal University, Kremlevskaya str., 18, 420008, Kazan, Russia
b Kazan State University of Architecture and Engineering, Zelenaya str., 1, 420043, Kazan, Russia
English version PDF (532 kB) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.13108/2017-9-1-3
Abstract: We consider a canonical factorization and integral representation for the derivatives of the conformal mappings of circular domains on finitely-connected non-Smirnov type domains. By means of the functions in the Zygmund class, we obtain the conditions for the global univalence. Earlier similar results were obtained by a series of authors just for simply-connected domains.
Keywords: non-Smirnov type domain, Zygmun condition, Schwarz operator.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00371-а
The work is supported by RFBR (project no. 14-01-00371-a).
Received: 25.07.2016
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 30C45, 30C55, 30C62, 31A20
Language: English
Original paper language: Russian
Citation: F. G. Avkhadiev, P. L. Shabalin, “Conformal mappings of circular domains on finitely-connected non-Smirnov type domains”, Ufa Math. J., 9:1 (2017), 3–17
Citation in format AMSBIB
\Bibitem{AvkSha17}
\by F.~G.~Avkhadiev, P.~L.~Shabalin
\paper Conformal mappings of circular domains on finitely-connected non-Smirnov type domains
\jour Ufa Math. J.
\yr 2017
\vol 9
\issue 1
\pages 3--17
\mathnet{http://mi.mathnet.ru//eng/ufa360}
\crossref{https://doi.org/10.13108/2017-9-1-3}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000411736500001}
\elib{https://elibrary.ru/item.asp?id=29009891}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85018787572}
Linking options:
  • https://www.mathnet.ru/eng/ufa360
  • https://doi.org/10.13108/2017-9-1-3
  • https://www.mathnet.ru/eng/ufa/v9/i1/p3
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
    Statistics & downloads:
    Abstract page:457
    Russian version PDF:180
    English version PDF:23
    References:58
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024