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Anglický jazyk
Gauge Integrals over Metric Measure Spaces
Autor: Surinder Pal Singh
The main aim of this work is to explore the gauge integrals over Metric Measure Spaces, particularly the McShane and the Henstock-Kurzweil integrals. We prove that the McShane-integral is unaltered even if one chooses some other classes of divisions.... Viac o knihe
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O knihe
The main aim of this work is to explore the gauge integrals over Metric Measure Spaces, particularly the McShane and the Henstock-Kurzweil integrals. We prove that the McShane-integral is unaltered even if one chooses some other classes of divisions. We analyze the notion of absolute continuity of charges and its relation with the Henstock-Kurzweil integral. A measure theoretic characterization of the Henstock-Kurzweil integral on finite dimensional Euclidean Spaces, in terms of the full variational measure is presented, along with some partial results on Metric Measure Spaces. We conclude this manual with a set of questions on Metric Measure Spaces which are open for researchers.
- Vydavateľstvo: Scholars' Press
- Rok vydania: 2014
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9783639705201
