Uniform integrabblity and the lebesgue theorem on convergence in $L_0$-valued measures

• Datum: 1996
• Hauptverfasser: Radchenko, V. N., Радченко, В. Н.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1996
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5287
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study integrals $∫fdμ$ of real functions over $L_0$-valued measures. We give a definition of convergence of real functions in quasimeasure and, as a special case, in $L_0$-measure. For these types of convergence, we establish conditions of convergence in probability for integrals over $L_0$-value...