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Mathematics of the USSR-Sbornik, 1991, Volume 68, Issue 1, Pages 19–30
DOI: https://doi.org/10.1070/SM1991v068n01ABEH001370 (Mi sm1655) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a class of exceptional sets in the theory of conformal mappings

N. G. Makarov
English version PDF (546 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1991v068n01ABEH001370
Abstract: A subset $E$ of the unit circle $\partial\mathbf D$ is called an $L$-set if there exists a function univalent in the disc $\mathbf D$ mapping $E$ to a set of zero linear measure. Metric properties of $L$-sets are studied, and related problems of the radial behavior of Bloch functions are also considered.
Bibliography: 11 titles.
Received: 21.06.1988
Russian version:
Matematicheskii Sbornik, 1989, Volume 180, Number 9, Pages 1171–1182
Bibliographic databases:
UDC: 517.5
MSC: 30C35, 30C45
Language: English
Original paper language: Russian
Citation: N. G. Makarov, “On a class of exceptional sets in the theory of conformal mappings”, Mat. Sb., 180:9 (1989), 1171–1182; Math. USSR-Sb., 68:1 (1991), 19–30
Citation in format AMSBIB
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\by N.~G.~Makarov
\paper On a~class of exceptional sets in the theory of conformal mappings
\jour Mat. Sb.
\yr 1989
\vol 180
\issue 9
\pages 1171--1182
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1017820}
\zmath{https://zbmath.org/?q=an:0688.30006|0708.30011}
\transl
\jour Math. USSR-Sb.
\yr 1991
\vol 68
\issue 1
\pages 19--30
\crossref{https://doi.org/10.1070/SM1991v068n01ABEH001370}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1991EX22700002}
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  • https://doi.org/10.1070/SM1991v068n01ABEH001370
  • https://www.mathnet.ru/eng/sm/v180/i9/p1171
    • 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 - 1989–1990 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:244
    Russian version PDF:106
    English version PDF:6
    References:30
    First page:1
     
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