Measure Theory and Fine Properties of Functions

List of contents

Preface, 1: General Measure Theory, 2: Hausdorff Measure, 3: Area and Coarea Formulas, 4: Sobolev Functions, 5: BV Functions and Sets of Finite Perimeter, 6: Differentiability and Approximation by C1 Functions, Bibliography, Notation, Index

About the author

LawrenceCraig Evans

Summary

Offers an examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the find properties of sets and functions. This book includes proofs of various key results omitted from other books, including Besicovitch's covering theorem.

Product details

• Authors: Evans Craig Evans, Lawrence C Evans, Lawrence Craig Evans, Lawrencecraig Evans, Ronald F Gariepy, Gariepy Ronald F
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 18.12.1991
• EAN: 9780849371578
• ISBN: 978-0-8493-7157-8
• No. of pages: 280
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis