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- Title
HENSTOCK-TYPE INTEGRAL FOR VECTOR VALUED FUNCTIONS IN A COMPACT METRIC SPACE.
- Authors
La Russa, Caterina
- Abstract
We define a Henstock-type integral for vector valued functions defined in a probability metric compact Radon space, using a suitable family B of measurable sets which play the role of "intervals". When B is the family of all subintervals of [0, 1] we obtain the classical Henstock-Kurzweil integral on the real line, whereas if B is the family of all subintervals of [0, 1]², or that of all subintervals of [0, 1]² with a fixed regularity, we obtain the classical Henstock integral on the plane with respect to the Kurzweil base or the Kempisty base respectively.
- Subjects
RADON integrals; SINGULAR integrals; HENSTOCK-Kurzweil integral; REAL variables; GENERALIZED integrals
- Publication
Real Analysis Exchange, 2011, Vol 36, Issue 2, p435
- ISSN
0147-1937
- Publication type
Article
- DOI
10.14321/realanalexch.36.2.0435