Proceedings of the American Mathematical Society

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



Composing functions of bounded variation

Author: Michael Josephy
Journal: Proc. Amer. Math. Soc. 83 (1981), 354-356
MSC: Primary 26A45
MathSciNet review: 624930
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We find necessary and sufficient conditions on $ g$ such that $ f \circ g({\text{resp}}{\text{.}}g \circ f)$ is a function of bounded variation for all $ f$ of bounded variation.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 26A45

Retrieve articles in all journals with MSC: 26A45

Additional Information

Keywords: Function of bounded variation, composition, Lipschitz condition
Article copyright: © Copyright 1981 American Mathematical Society