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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.
| Autorius: | Surinder Pal Singh |
| Leidėjas: | Scholars' Press |
| Išleidimo metai: | 2014 |
| Knygos puslapių skaičius: | 80 |
| ISBN-10: | 3639705203 |
| ISBN-13: | 9783639705201 |
| Formatas: | 220 x 150 x 5 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
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