Analogues of the Denjoy-Young-Saks theorem-Reference-Cited by-同舟云学术

Analogues of the Denjoy-Young-Saks theorem

Published:1982 Issue:1 Volume:271 Page:253-260
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Belna C. L.,Cargo G. T.,Evans M. J.,Humke P. D.

Abstract

In this paper, an analogue of the Denjoy-Young-Saks theorem concerning the almost everywhere classification of the Dini derivates of an arbitrary real function is established in both the case where the exceptional set is of first category and the case where it is σ \sigma -porous. Examples are given to indicate the sharpness of these results.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1982-271-01/S0002-9947-1982-0648091-0/S0002-9947-1982-0648091-0.pdf

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4. \bysame, Boundary properties of arbitrary functions, Math. USSR-Izv. 1 (1967), 1-12.

5. Restricted cluster sets;Erdős, Paul;Math. Nachr.,1960

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