Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2015, Volume 206, Issue 1, Pages 161–174
DOI: https://doi.org/10.1070/SM2015v206n01ABEH004451 (Mi sm8326) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Carathéodory domains and Rudin's converse of the maximum modulus principle

K. Yu. Fedorovskiyab

a N. E. Bauman Moscow State Technical University
b St. Petersburg State University, Department of Mathematics and Mechanics
English version PDF (486 kB) Citations (1) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2015v206n01ABEH004451
Abstract: We obtain extensions of the classical Rudin theorem on the converse of the maximum modulus principle from the unit disc to Carathéodory domains. The proofs are based on recent results about properties of conformal mappings of Carathéodory domains, which are also considered in the paper.
Bibliography: 18 titles.
Keywords: Carathéodory domain, maximum modulus principle, meromorphic functions, equality in the sense of conformal mappings.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00434
13-01-12430
Ministry of Education and Science of the Russian Federation НШ-2900.2014.1
1.2640.2014
Dynasty Foundation
The author was partially supported by the Russian Foundation for Basic Research (grant nos. 12-01-00434 and 13-01-12430), the Programme for the Support of Leading Scientific Schools of the Russian Federation (grant НШ-2900.2014.1), the Russian Ministry of Education and Science (project no. 1.2640.2014), and by Dmitry Zimin's "Dynasty" Foundation.
Received: 14.01.2014 and 24.10.2014
Bibliographic databases:
Document Type: Article
UDC: 517.542+517.547.5
MSC: 30C80
Language: English
Original paper language: Russian
Citation: K. Yu. Fedorovskiy, “Carathéodory domains and Rudin's converse of the maximum modulus principle”, Sb. Math., 206:1 (2015), 161–174
Citation in format AMSBIB
\Bibitem{Fed15}
\by K.~Yu.~Fedorovskiy
\paper Carath\'eodory domains and Rudin's converse of the maximum modulus principle
\jour Sb. Math.
\yr 2015
\vol 206
\issue 1
\pages 161--174
\mathnet{http://mi.mathnet.ru//eng/sm8326}
\crossref{https://doi.org/10.1070/SM2015v206n01ABEH004451}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3354967}
\zmath{https://zbmath.org/?q=an:1325.30006}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2015SbMat.206..161F}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000351527000010}
\elib{https://elibrary.ru/item.asp?id=23421604}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925248292}
Linking options:
  • https://www.mathnet.ru/eng/sm8326
  • https://doi.org/10.1070/SM2015v206n01ABEH004451
  • https://www.mathnet.ru/eng/sm/v206/i1/p175
    • 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
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024