Description

• Title:
  On the measurability of functions with quasi - continuous and upper semi - continuous vertical sections
• Creator:
  Grande, Zbigniew
• Description:
  Let f : R2 → R be a function with upper semicontinuous and quasi-continuous vertical sections fx(t) = f(x, t), t, x ∈ R. It is proved that if the horizontal sections fy(t) = f(t, y), y, t ∈ R, are of Baire class α (resp. Lebesgue measurable) [resp. with the Baire property] then f is of Baire class α + 2 (resp. Lebesgue measurable and sup-measurable) [resp. has Baire property].
• Object availability:
  free access
• Date:
  2014.03.10;
  2013
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Springer
• Relation:
  63 (2013), no. 4, 793 - 798;
• Subject:
  lebesgue measurability;
  Baire property;
  Baire classes;
  upper semi-continuity;
  quasi-continuity;
  sup-measurability
• Identifier:
  Mathematica Slovaca;
  http://repozytorium.ukw.edu.pl/handle/item/422
• Data provider:
  Repozytorium Uniwersytetu Kazimierza Wielkiego w Bydgoszczy
• Can I use it?:
  seek permission
• Type:
  image