When total variation is additive
Author: F. S. Cater
Journal: Proc. Amer. Math. Soc. 84 (1982), 504-508
MSC: Primary 26A45; Secondary 26A30
MathSciNet review: 643738
Abstract: Let and be continuous functions of bounded variation on . We use the Dini derivates of and to give a necessary and sufficient condition that the equation holds.
Keywords: Continuous function of bounded variation, total variation, absolutely continuous function, singular function, Lebesgue outer measure
Article copyright: © Copyright 1982 American Mathematical Society