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Mathematics of the USSR-Sbornik, 1971, Volume 13, Issue 3, Pages 419–434
DOI: https://doi.org/10.1070/SM1971v013n03ABEH003691
(Mi sm3084)
 

This article is cited in 1 scientific paper (total in 1 paper)

Boundary properties of analytic functions representable as integrals of Cauchy type

G. Ts. Tumarkin
References:
Abstract: This paper is devoted to a study of the properties of the classes $K_S(G)$ and $K_L(G)$ of functions $f(z)$ analytic in a region $G$ having a rectifiable Jordan boundary which are representable as Cauchy–Stieltjes integrals $f(z)=\int_\Gamma(\zeta-z)^{-1}d\mu(\zeta)$ or Cauchy–Lebesgue integrals $f(z)=\int_\Gamma\omega(\zeta)(\zeta-z)^{-1}d\zeta$, respectively.
Bibliography: 14 titles.
Received: 26.02.1970
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1971, Volume 84(126), Number 3, Pages 425–439
Bibliographic databases:
UDC: 517.53
MSC: 30A72, 30A86
Language: English
Original paper language: Russian
Citation: G. Ts. Tumarkin, “Boundary properties of analytic functions representable as integrals of Cauchy type”, Mat. Sb. (N.S.), 84(126):3 (1971), 425–439; Math. USSR-Sb., 13:3 (1971), 419–434
Citation in format AMSBIB
\Bibitem{Tum71}
\by G.~Ts.~Tumarkin
\paper Boundary properties of analytic functions representable as integrals of Cauchy type
\jour Mat. Sb. (N.S.)
\yr 1971
\vol 84(126)
\issue 3
\pages 425--439
\mathnet{http://mi.mathnet.ru/sm3084}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=294646}
\zmath{https://zbmath.org/?q=an:0219.30030|0238.30032}
\transl
\jour Math. USSR-Sb.
\yr 1971
\vol 13
\issue 3
\pages 419--434
\crossref{https://doi.org/10.1070/SM1971v013n03ABEH003691}
Linking options:
  • https://www.mathnet.ru/eng/sm3084
  • https://doi.org/10.1070/SM1971v013n03ABEH003691
  • https://www.mathnet.ru/eng/sm/v126/i3/p425
  • 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 (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:427
    Russian version PDF:148
    English version PDF:26
    References:48
     
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