On the asymptotic behavior of Cauchy–Stieltjes integral in the polydisc

Авторы

  • O. A. Zolota
    Institute of Physics, Mathematics and Computer Science, Drohobych Ivan Franko State Pedagogical University, Drohobych, Lviv reg., Ukraine

Ключевые слова:

modulus of continuity, Cauchy–Stieltjes integral, polydisc, set of zero $\omega$-capacity, non-tangential limit.

Аннотация

In the paper the asymptotic behavior of Cauchy–Stieltjes integral of a complex-valued Borel measure on the skeleton in the polydisc is described. The main result holds outside a set of zero $\omega$-capacity. It generalizes the theorem for the one-dimensional case.

Загрузки

Опубликован

20.03.2012

Выпуск

Том 4 № 1 (2012): Уфимский математический журнал 2012, том 4, выпуск 1

Раздел

Статьи