Pointwise Limits of Sequences of Right-Continuous Functions and Measurability of Functions of Two Variables
Zbigniew GrandeKazimierz Wielki University, Bydgoszcz, Poland
In this article I prove that the pointwise limit of a sequence of right-continuous functions has some special property (G) and that bounded functions of two variables whose vertical sections , , are derivatives and horizontal sections , , are pointwise limits of sequences of right-continuous functions, are measurable and sup-measurable in the sense of Lebesgue.
Cite this article
Zbigniew Grande, Pointwise Limits of Sequences of Right-Continuous Functions and Measurability of Functions of Two Variables. Z. Anal. Anwend. 33 (2014), no. 2, pp. 171–176DOI 10.4171/ZAA/1505