Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1988, Volume 31, Issue 3, Pages 621–633
DOI: https://doi.org/10.1070/IM1988v031n03ABEH001093 (Mi im1342) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mapping of sets of finite $\alpha$-measure by rational functions

E. P. Dolzhenko, V. I. Danchenko
English version PDF (700 kB) Citations (5) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1988v031n03ABEH001093
Abstract: Inequalities are obtained which reflect the changes in the Hausdorff $\alpha$-measures, including lengths and areas, of planar sets when they are mapped by rational functions of a complex variable. Some applications of these inequalities to the theory of rational approximation are given.
Bibliography: 13 titles.
Received: 22.01.1986
Bibliographic databases:
UDC: 517.53
MSC: Primary 30C99, 30E10, 41A20; Secondary 11K55
Language: English
Original paper language: Russian
Citation: E. P. Dolzhenko, V. I. Danchenko, “Mapping of sets of finite $\alpha$-measure by rational functions”, Math. USSR-Izv., 31:3 (1988), 621–633
Citation in format AMSBIB
\Bibitem{DolDan87}
\by E.~P.~Dolzhenko, V.~I.~Danchenko
\paper Mapping of sets of finite $\alpha$-measure by rational functions
\jour Math. USSR-Izv.
\yr 1988
\vol 31
\issue 3
\pages 621--633
\mathnet{http://mi.mathnet.ru/eng/im1342}
\crossref{https://doi.org/10.1070/IM1988v031n03ABEH001093}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=933966}
\zmath{https://zbmath.org/?q=an:0677.30008|0673.30004}
Linking options:
  • https://www.mathnet.ru/eng/im1342
  • https://doi.org/10.1070/IM1988v031n03ABEH001093
  • https://www.mathnet.ru/eng/im/v51/i6/p1309
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025