This article is cited in 1 paper

Boundary properties of analytic functions representable as integrals of Cauchy type

G. Ts. Tumarkin


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.

UDC: 517.53

MSC: 30A72, 30A86

Received: 26.02.1970

 English version: Mathematics of the USSR-Sbornik, 1971, 13:3, 419–434

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