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Proceedings of the American Mathematical Society

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

 

 

On the classes $ \Lambda {\rm BV}$ and $ {\rm V}[\nu]$


Author: M. Avdispahić
Journal: Proc. Amer. Math. Soc. 95 (1985), 230-234
MSC: Primary 26A45; Secondary 42A28
DOI: https://doi.org/10.1090/S0002-9939-1985-0801329-7
MathSciNet review: 801329
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Abstract: We prove inclusion relations between Waterman's and Chanturiya's classes and point to some corollaries thereof. The situation which occurs in connection with Zygmund's theorem for Waterman's classes is clarified.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1985-0801329-7
Keywords: Bounded variation, modulus of variation, Lipschitz classes, Zygmund's theorem, Wiener's theorem
Article copyright: © Copyright 1985 American Mathematical Society