Some Remarks on Indicatrices of Measurable Functions

• Autorzy: Marcin Kysiak
• Języki publikacji: EN

Abstrakty

EN

We show that for a wide class of σ-algebras 𝓐, indicatrices of 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.

Kategorie tematyczne

• 03E15: Descriptive set theory
• 26A99: None of the above, but in this section
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 3
• Strony: 281-284

Daty

wydano

2005

Twórcy

autor

Marcin Kysiak

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

Identyfikatory

DOI

10.4064/ba53-3-5