On indefinite BV-integrals
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 4, pp. 843-853
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We present an example of a locally BV-integrable function in the real line whose indefinite integral is not the sum of a locally absolutely continuous function and a function that is Lipschitz at all but countably many points.
We present an example of a locally BV-integrable function in the real line whose indefinite integral is not the sum of a locally absolutely continuous function and a function that is Lipschitz at all but countably many points.
Classification :
26A39, 26A42
Keywords: BV integral; absolute continuity; pointwise Lipschitz functions
Keywords: BV integral; absolute continuity; pointwise Lipschitz functions
@article{CMUC_2000_41_4_a17,
author = {Bongiorno, D. and Darji, U. and Pfeffer, W. F.},
title = {On indefinite {BV-integrals}},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {843--853},
year = {2000},
volume = {41},
number = {4},
mrnumber = {1800159},
zbl = {1052.26006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2000_41_4_a17/}
}
Bongiorno, D.; Darji, U.; Pfeffer, W. F. On indefinite BV-integrals. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) no. 4, pp. 843-853. http://geodesic.mathdoc.fr/item/CMUC_2000_41_4_a17/