Lusin's theorem
type: Item
instance of: scholarly article
title: Lusin's theorem
zbMATH Open document ID: 0731.28004
author: Casper Goffman
published in: Real Analysis Exchange
publication date: 1991-01-01T00:00:00Z
review text: The paper has a survey character. It deals with the well-known Lusin's theorem for measurable functions and with some of its consequences. The author discusses Lusin type theorems for one-one mappings, for the class of absolutely continuous functions, for the functions of bounded variation and for the continuous functions of bounded variation. It is also shown that Lusin type theorems hold for Sobolev spaces.
Mathematics Subject Classification ID: 28A20
Mathematics Subject Classification ID: 26A15
Mathematics Subject Classification ID: 26A45
Mathematics Subject Classification ID: 26A46
zbMATH DE Number: 4208431
zbMATH Keywords: approximately continuous functions
zbMATH Keywords: survey
zbMATH Keywords: Lusin's theorem
zbMATH Keywords: measurable functions
zbMATH Keywords: Lusin type theorems
zbMATH Keywords: absolutely continuous functions
zbMATH Keywords: functions of bounded variation
zbMATH Keywords: Sobolev spaces
reviewed by: Pavel Kostyrko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4208431