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.

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On the invariance of classes $\Phi BV, \Lambda BV$ under composition
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by Pamela B. Pierce and Daniel Waterman
Proc. Amer. Math. Soc. 132 (2004), 755-760
DOI: https://doi.org/10.1090/S0002-9939-03-07129-6
Published electronically: July 31, 2003

Abstract:

The necessary and sufficient condition for $g \circ f$ to be in the class $\Phi BV, \Lambda BV$ for every $f$ of that class whose range is in the domain of $g$ is that $g$ be in $\operatorname {Lip}1$.
References
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Bibliographic Information
  • Pamela B. Pierce
  • Affiliation: Department of Mathematics and Computer Science, The College of Wooster, Wooster, Ohio 44691
  • ORCID: 0000-0002-7495-2990
  • Email: ppierce@acs.wooster.edu
  • Daniel Waterman
  • Affiliation: Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431-0991
  • Email: fourier@earthlink.net
  • Received by editor(s): October 21, 2002
  • Published electronically: July 31, 2003
  • Communicated by: Andreas Seeger
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 755-760
  • MSC (2000): Primary 26A45, 42A16
  • DOI: https://doi.org/10.1090/S0002-9939-03-07129-6
  • MathSciNet review: 2019952