Nonabsolute integration on measure spaces
著者
書誌事項
Nonabsolute integration on measure spaces
（Series in real analysis, v. 14）
World Scientific, c2018
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注記
Includes bibliographical references (p. 203-207) and index
内容説明・目次
内容説明
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-Nikodym theorem.
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