Some Remarks on Indicatrices of Measurable Functions

Volume 53 / 2005

Marcin Kysiak Bulletin Polish Acad. Sci. Math. 53 (2005), 281-284 MSC: 28A05, 26A99, 03E15. DOI: 10.4064/ba53-3-5


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.


  • Marcin KysiakInstitute of Mathematics
    Warsaw University
    Banacha 2
    02-097 Warszawa, Poland

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