ERRATUM
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Submitted 1966-01-01 | RussiaRxiv: ru-196601.18938 | Translated from Russian

Abstract

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ERRATUM

In our article (A. A. Babaev and V. V. Salaev, “On an analogue of the Plemelj–Privalov theorem in the case of nonsmooth curves and its applications”), published in DAN, vol. 161, no. 2, 1965, the following corrections must be made.

On p. 267, line 7 from the bottom, it is printed: \(\omega(f,\delta)\le cf\varphi(\delta)\); it should read: \(\omega(f,\delta)\le c\varphi(\delta)\).

On p. 268, in inequality (3), it is printed

\[ \int_{\beta(\delta)}^{\varepsilon/2} \frac{\varphi(\alpha(s))}{\alpha(s)}\,ds, \]

it should read

\[ \int_{\beta(\delta)}^{1/2} \frac{\varphi(\alpha(s))}{\alpha^2(s)}\,ds. \]

On p. 268, in condition (11) of the lemma, it is printed

\[ \frac{\varphi(\alpha(c\delta))\alpha^2(\delta)} {\varphi(\alpha(\delta))\alpha^2(\delta)}, \]

it should read

\[ \frac{\varphi(\alpha(c\delta))\alpha^2(\delta)} {\varphi(\alpha(\delta))\alpha^2(c\delta)}. \]

A. A. Babaev, V. V. Salaev

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ERRATUM