Geodesic
Some Remarks on Indicatrices of Measurable Functions
Marcin Kysiak1
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 3, pp. 281-284 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/ba53-3-5
Keywords: wide class sigma algebras cal indicatrices cal measurable functions admit characterization indicatrices lebesgue measurable functions particular applies functions measurable sense marczewski

Marcin Kysiak 1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland 
@article{10_4064_ba53_3_5,
     author = {Marcin Kysiak},
     title = {Some {Remarks} on {Indicatrices} of {Measurable} {Functions}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {281--284},
     year = {2005},
     volume = {53},
     number = {3},
     doi = {10.4064/ba53-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba53-3-5/}
}
TY  - JOUR
AU  - Marcin Kysiak
TI  - Some Remarks on Indicatrices of Measurable Functions
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2005
SP  - 281
EP  - 284
VL  - 53
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba53-3-5/
DO  - 10.4064/ba53-3-5
LA  - en
ID  - 10_4064_ba53_3_5
ER  - 
%0 Journal Article
%A Marcin Kysiak
%T Some Remarks on Indicatrices of Measurable Functions
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2005
%P 281-284
%V 53
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ba53-3-5/
%R 10.4064/ba53-3-5
%G en
%F 10_4064_ba53_3_5
Marcin Kysiak. Some Remarks on Indicatrices of Measurable Functions. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 3, pp. 281-284. doi: 10.4064/ba53-3-5

Cité par Sources :