Variational measures in the theory of the integration in ℝ m

Luisa Di Piazza

Czechoslovak Mathematical Journal (2001)

  • Volume: 51, Issue: 1, page 95-110
  • ISSN: 0011-4642

Abstract

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We study properties of variational measures associated with certain conditionally convergent integrals in ℝ m . In particular we give a full descriptive characterization of these integrals.

How to cite

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Di Piazza, Luisa. "Variational measures in the theory of the integration in $\mathbb {R}^m$." Czechoslovak Mathematical Journal 51.1 (2001): 95-110. <http://eudml.org/doc/30617>.

@article{DiPiazza2001,
abstract = {We study properties of variational measures associated with certain conditionally convergent integrals in $\{\mathbb \{R\}\}^m$. In particular we give a full descriptive characterization of these integrals.},
author = {Di Piazza, Luisa},
journal = {Czechoslovak Mathematical Journal},
keywords = {variational measures and derivates of set functions; Riemann generalized integrals; variational measures and derivates of set functions; Riemann generalized integrals; Henstock-Kurzweil integral},
language = {eng},
number = {1},
pages = {95-110},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Variational measures in the theory of the integration in $\mathbb \{R\}^m$},
url = {http://eudml.org/doc/30617},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Di Piazza, Luisa
TI - Variational measures in the theory of the integration in $\mathbb {R}^m$
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 95
EP - 110
AB - We study properties of variational measures associated with certain conditionally convergent integrals in ${\mathbb {R}}^m$. In particular we give a full descriptive characterization of these integrals.
LA - eng
KW - variational measures and derivates of set functions; Riemann generalized integrals; variational measures and derivates of set functions; Riemann generalized integrals; Henstock-Kurzweil integral
UR - http://eudml.org/doc/30617
ER -

References

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Citations in EuDML Documents

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  1. Diana Caponetti, On the σ -finiteness of a variational measure
  2. Donatella Bongiorno, Luisa Di Piazza, Valentin A. Skvortsov, Variational measures related to local systems and the Ward property of 𝒫 -adic path bases
  3. Sokol Bush Kaliaj, New extension of the variational McShane integral of vector-valued functions
  4. Sokol Bush Kaliaj, Some remarks on descriptive characterizations of the strong McShane integral
  5. Tuo-Yeong Lee, Some full characterizations of the strong McShane integral
  6. Tuo-Yeong Lee, A measure-theoretic characterization of the Henstock-Kurzweil integral revisited

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