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ArticleOriginal scientific text

Title

Continuous-, derivative-, and differentiable-restrictions of measurable functions

Authors 1

Affiliations

  1. Division of Mathematics, Auburn University, Auburn, Alabama 36849-5310, U.S.A.

Abstract

We review the known facts and establish some new results concerning continuous-restrictions, derivative-restrictions, and differentiable-restrictions of Lebesgue measurable, universally measurable, and Marczewski measurable functions, as well as functions which have the Baire properties in the wide and restricted senses. We also discuss some known examples and present a number of new examples to show that the theorems are sharp.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm141/fm14116.pdf

Fundamenta Mathematicae
1992/141/1
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Pages:
85-95
Main language of publication
English
Received
1991-06-28
Accepted
1991-11-05
Published
1992
Exact and natural sciences