Direct and Inverse Problems of Baire Classification of Integrals Depending on a Parameter

• Date: 2004
• Main Authors: Banakh, T. O., Kutsak, S. M., Maslyuchenko, V. K., Maslyuchenko, O. V., Банах, Т. О., Куцак, С. М., Маслюченко, В. К., Маслюченко, О. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2004
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3857
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the problem of the Baire classification of integrals g (y) = (If)(y) = ∫ X f(x, y)dμ(x), where y is a parameter that belongs to a topological space Y and f are separately continuous functions or functions similar to them. For a given function g, we consider the inverse problem of constructi...