On variational measures related to some bases

[摘要] We extend, to a certain class of differentiation bases, some results on the variational measure and the delta -variation obtained earlier for the full interval basis. In particular the theorem stating that the variational measure generated by an interval function is a-finite whenever it is absolutely continuous with respect to the Lebesgue measure is extended to any Busemann-Feller basis. (C) 2000 Academic Press.

[发布日期] 2000-10-15

[关键词] variational measure;delta-variation;differentiation basis;Henstock integral;Perron integral