# Pointwise Limits of Sequences of Right-Continuous Functions and Measurability of Functions of Two Variables

### Zbigniew Grande

Kazimierz Wielki University, Bydgoszcz, Poland

## Abstract

In this article I prove that the pointwise limit $f:R→R$ of a sequence of right-continuous functions has some special property (G) and that bounded functions of two variables $g:R_{2}→R$ whose vertical sections $g_{x}$, $x∈R$, are derivatives and horizontal sections $g_{y}$, $y∈R$, 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. 171–176

DOI 10.4171/ZAA/1505