On the σ -finiteness of a variational measure

Diana Caponetti

Mathematica Bohemica (2003)

  • Volume: 128, Issue: 2, page 137-146
  • ISSN: 0862-7959

Abstract

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The σ -finiteness of a variational measure, generated by a real valued function, is proved whenever it is σ -finite on all Borel sets that are negligible with respect to a σ -finite variational measure generated by a continuous function.

How to cite

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Caponetti, Diana. "On the $\sigma $-finiteness of a variational measure." Mathematica Bohemica 128.2 (2003): 137-146. <http://eudml.org/doc/249229>.

@article{Caponetti2003,
abstract = {The $\sigma $-finiteness of a variational measure, generated by a real valued function, is proved whenever it is $\sigma $-finite on all Borel sets that are negligible with respect to a $\sigma $-finite variational measure generated by a continuous function.},
author = {Caponetti, Diana},
journal = {Mathematica Bohemica},
keywords = {variational measure; $H$-differentiable; $H$-density; variational measure; -differentiability; -density},
language = {eng},
number = {2},
pages = {137-146},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the $\sigma $-finiteness of a variational measure},
url = {http://eudml.org/doc/249229},
volume = {128},
year = {2003},
}

TY - JOUR
AU - Caponetti, Diana
TI - On the $\sigma $-finiteness of a variational measure
JO - Mathematica Bohemica
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 128
IS - 2
SP - 137
EP - 146
AB - The $\sigma $-finiteness of a variational measure, generated by a real valued function, is proved whenever it is $\sigma $-finite on all Borel sets that are negligible with respect to a $\sigma $-finite variational measure generated by a continuous function.
LA - eng
KW - variational measure; $H$-differentiable; $H$-density; variational measure; -differentiability; -density
UR - http://eudml.org/doc/249229
ER -

References

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  14. The Lebesgue and Denjoy-Perron integrals from a descriptive point of view, Ricerche Mat. 48 (1999), 211–223. (1999) Zbl0951.26005MR1760817
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