Some Remarks on Indicatrices of Measurable Functions

Marcin Kysiak

Bulletin of the Polish Academy of Sciences. Mathematics (2005)

  • Volume: 53, Issue: 3, page 281-284
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Marcin Kysiak. "Some Remarks on Indicatrices of Measurable Functions." Bulletin of the Polish Academy of Sciences. Mathematics 53.3 (2005): 281-284. <http://eudml.org/doc/280597>.

@article{MarcinKysiak2005,
abstract = {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.},
author = {Marcin Kysiak},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {indicatrix; Marczewski-measurable function},
language = {eng},
number = {3},
pages = {281-284},
title = {Some Remarks on Indicatrices of Measurable Functions},
url = {http://eudml.org/doc/280597},
volume = {53},
year = {2005},
}

TY - JOUR
AU - Marcin Kysiak
TI - Some Remarks on Indicatrices of Measurable Functions
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 3
SP - 281
EP - 284
AB - 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.
LA - eng
KW - indicatrix; Marczewski-measurable function
UR - http://eudml.org/doc/280597
ER -

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