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Zapiski Nauchnykh Seminarov POMI, 2006, Volume 337, Pages 35–50 (Mi znsl181)  
This article is cited in 2 scientific papers (total in 2 papers)

On canonical mappings onto circular domains with radial slits

V. A. Shlyk, A. S. Gulyaev

Far Eastern National University
Full-text PDF (231 kB) Citations (2)
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Abstract: New definitions of normal (in the sense of GrЁotzsch) annular and circular domains with radial slits are considered. Their geometric and functional properties are established. Arguments based on the method of extremal metric in the sense of Fuglede allow one to extend these properties to the $n$-dimensional case, $n\geqslant2$. The properties established provide a means for simplifying the proofs of the related results by Strebel and Reich and for bringing them to a complete form. Bibliography: 12 titles.
Received: 10.07.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 143, Issue 3, Pages 3030–3038
DOI: https://doi.org/10.1007/s10958-007-0189-z
Bibliographic databases:
UDC: 517.54
Language: Russian
Citation: V. A. Shlyk, A. S. Gulyaev, “On canonical mappings onto circular domains with radial slits”, Analytical theory of numbers and theory of functions. Part 21, Zap. Nauchn. Sem. POMI, 337, POMI, St. Petersburg, 2006, 35–50; J. Math. Sci. (N. Y.), 143:3 (2007), 3030–3038
Citation in format AMSBIB
\Bibitem{ShlGul06}
\by V.~A.~Shlyk, A.~S.~Gulyaev
\paper On canonical mappings onto circular domains with radial slits
\inbook Analytical theory of numbers and theory of functions. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2006
\vol 337
\pages 35--50
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl181}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2271956}
\zmath{https://zbmath.org/?q=an:1115.30020}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 143
\issue 3
\pages 3030--3038
\crossref{https://doi.org/10.1007/s10958-007-0189-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248232550}
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  • https://www.mathnet.ru/eng/znsl/v337/p35
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:64
     
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