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Nonabsolute Integration on Measure Spaces
Hardcover
Series: Real Analysis, Book 14
ISBN13: 9789813221963
Publisher: World Scientific Publishing Company
Published: Dec 1 2017
Pages: 248
Weight: 1.10
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
This book offers to the reader a self-contained treatment and systematic exposition of the real-valued theory of a nonabsolute integral on measure spaces. It is an introductory textbook to Henstock-Kurzweil type integrals defined on abstract spaces. It contains both classical and original results that are accessible to a large class of readers.
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.
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