Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 1999 / Cilt: 48 - Sayı: 1-2

On the speed of convergence of the integral of Cauchy-Stieltjes type and generalized Privalov's lemma

On the speed of convergence of the integral of Cauchy-Stieltjes type and generalized Privalov's lemma

A. ŞERBETÇİ

Sayfa
23–31
DOI
—

Abstract

The speed of convergence of the Cauchy-Stieltjes singular integral to its boundary value is established. The main result is the generalization of Tanaka's version of fundamental Privalov's lemma.