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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On superposition of functions of bounded $\phi$-variation
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by Franciszek Prus-Wiśniowski PDF
Proc. Amer. Math. Soc. 107 (1989), 361-366 Request permission

Abstract:

J. Ciemnoczolowski and W. Orlicz in [1] have obtained some results concerning superpositions of functions of bounded $\varphi$-variation. In this note we show that the assumption in Theorem 1 of [1] that if $\psi$ satisfies ${\Delta _2}$ condition may be dropped. Moreover, Theorem 2.B of [1] is extended to a stronger version.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 107 (1989), 361-366
  • MSC: Primary 26A45; Secondary 46E30
  • DOI: https://doi.org/10.1090/S0002-9939-1989-1011823-8
  • MathSciNet review: 1011823