Some Remarks on Indicatrices of Measurable Functions
Marcin Kysiak
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005), p. 281-284 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280597 
@article{bwmeta1.element.bwnjournal-article-doi-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},
     volume = {53},
     year = {2005},
     pages = {281-284},
     zbl = {1113.28002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-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) pp. 281-284. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba53-3-5/