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On Variational Measures Related to Some Bases

✍ Scribed by B. Bongiorno; L. Di Piazza; V.A. Skvortsov

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
123 KB
Volume
250
Category
Article
ISSN
0022-247X

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✦ Synopsis

We extend, to a certain class of differentiation bases, some results on the variational measure and the Ξ΄-variation obtained earlier for the full interval basis. In particular the theorem stating that the variational measure generated by an interval function is Οƒ-finite whenever it is absolutely continuous with respect to the Lebesgue measure is extended to any Busemann-Feller basis.

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