Some Remarks on Indicatrices of Measurable Functions
Volume 53 / 2005
Bulletin Polish Acad. Sci. Math. 53 (2005), 281-284
MSC: 28A05, 26A99, 03E15.
DOI: 10.4064/ba53-3-5
Abstract
We show that for a wide class of $\sigma$-algebras ${\cal A}$, indicatrices of ${\cal A}$-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.
