Nonabsolute Integration on Measure Spaces

Ebook Details


Ng Wee Leng

Year 2017
Pages 248
Publisher World Scientific Publishing Co Pte Ltd
Language en
ISBN 9789813221963
File Size 2 MB
File Format PDF
Download Counter 1,021
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Ebook Description

It is widely acknowledged that the biggest difficulty in defining a Henstock–Kurzweil integral beyond Euclidean spaces is the definition of a set of measurable sets which will play the role of "intervals" in the abstract setting. In this book the author shows a creative and innovative way of defining "intervals" in measure spaces, and prove many interesting and important results including the well-known Radon–Nikodým theorem.