Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

$L_{p}$ smoothness and approximate continuity
HTML articles powered by AMS MathViewer

by Michael J. Evans and Paul D. Humke
Proc. Amer. Math. Soc. 92 (1984), 258-262
DOI: https://doi.org/10.1090/S0002-9939-1984-0754715-7

Abstract:

It is known that a measurable smooth function can have only countably many points of discontinuity. A measurable function is constructed here having the property of being ${L_p}$ smooth and having uncountably many points of ${L_p}$ (in fact, approximate) discontinuity.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26A15
  • Retrieve articles in all journals with MSC: 26A15
Bibliographic Information
  • © Copyright 1984 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 92 (1984), 258-262
  • MSC: Primary 26A15
  • DOI: https://doi.org/10.1090/S0002-9939-1984-0754715-7
  • MathSciNet review: 754715