Gauge Integrals over Metric Measure Spaces
Surinder Pal Singh · 2014
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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.
Book details
- Year
- 2014
- Language
- English
- Publisher
- Scholars' Press
- Editions
- 1
- Pages
- 90
- ISBN
- 9783639705201
Data source: Wikidata