|
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
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
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
Linking options:
https://www.mathnet.ru/eng/sm3084https://doi.org/10.1070/SM1971v013n03ABEH003691 https://www.mathnet.ru/eng/sm/v126/i3/p425
|
Statistics & downloads: |
Abstract page: | 427 | Russian version PDF: | 148 | English version PDF: | 26 | References: | 48 |
|