Variational measures in the theory of the integration in
Czechoslovak Mathematical Journal (2001)
- Volume: 51, Issue: 1, page 95-110
- ISSN: 0011-4642
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topDi 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
top- Essential variation. Measure Theory Oberwolfach 1981, Lecture Notes in Math. No. 945, Springer-Verlag, Berlin, 1981, pp. 187–193. (1981) MR0675282
- 10.1006/jmaa.1998.5982, J. Math. Anal. Appl. 224 (1998), 22–33. (1998) MR1632942DOI10.1006/jmaa.1998.5982
- 10.1007/BF02342334, Anal. Math. 22 (1996), 3–12. (1996) MR1384345DOI10.1007/BF02342334
- A new full descriptive characterization of Denjoy-Perron integral, Real Anal. Exchange 21 (1995–96), 656–663. (1995–96) MR1407278
- 10.1006/jmaa.1997.5804, J. Math. Anal. Appl. 222 (1998), 64–78. (1998) MR1623859DOI10.1006/jmaa.1997.5804
- Perron-type integration on -dimensional intervals and its properties, Czechoslovak Math. J. 45 (120) (1995), 79–106. (1995) MR1314532
- 10.1007/BF03323075, Results Math. 21 (1992), 138–151. (1992) MR1146639DOI10.1007/BF03323075
- Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields, Czechoslovak Math. J. 31 (106) (1981), 614–632. (1981) Zbl0562.26004MR0631606
- Unified integration, Academic Press, New York, 1983. (1983) Zbl0551.28001MR0740710
- Henstock integration in the plane, Mem. Amer. Math. Soc. 253 (1986). (1986) Zbl0596.26005MR0856159
- The Riemann Approach to Integration, Cambridge Univ. Press, Cambridge, 1993. (1993) Zbl0804.26005MR1268404
- On variation of functions of one real variable, Comment. Math. Univ. Carolin. 38 (1997), 61–71. (1997) MR1455470
- On additive continuous functions of figures, Rend. Instit. Mat. Univ. Trieste, suppl. 29 (1998), 115–133. (1998) Zbl0921.26008MR1696024
- Real and complex analysis, McGraw-Hill, New York, 1987. (1987) Zbl0925.00005MR0924157
- Theory of the integral, Dover, New York, 1964. (1964) MR0167578
- Derivates of intervals functions, Mem. Amer. Math. Soc. 452 (1991). (1991) MR1078198
Citations in EuDML Documents
top- Diana Caponetti, On the -finiteness of a variational measure
- Donatella Bongiorno, Luisa Di Piazza, Valentin A. Skvortsov, Variational measures related to local systems and the Ward property of -adic path bases
- Sokol Bush Kaliaj, Some remarks on descriptive characterizations of the strong McShane integral
- Sokol Bush Kaliaj, New extension of the variational McShane integral of vector-valued functions
- Tuo-Yeong Lee, Some full characterizations of the strong McShane integral
- Tuo-Yeong Lee, A measure-theoretic characterization of the Henstock-Kurzweil integral revisited
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