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

• Datum: 2004
• Hauptverfasser: 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: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2004
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3857
• Назва журналу: 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...