Measure Theory and Fine Properties of Functions

This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.

List of contents

1 Measure Theory
2 Hausdorff Measures
3 Area and Coarea Formulas
4 Sobolev Functions
5 Functions of Bounded Variation, Sets of Finite Perimeter
6 Differentiability, Approximation by C1 Functions

About the author

Lawrence C. Evans, University of California, Berkeley, USA
Ronald F. Gariepy, University of Kentucky, Lexington, USA

Summary

This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. The book emphasizes the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions.

Product details

• Authors: Lawrence C. Evans, Lawrence C. (University of California Evans, Lawrence Craig Evans, Lawrence Craig (University of California Evans, Evans Lawrence Craig
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 04.03.2025
• EAN: 9781032946443
• ISBN: 978-1-0-3294644-3
• No. of pages: 327
• Series: Textbooks in Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Mathematical Analysis, Calculus & mathematical analysis, Applied mathematics, Calculus and mathematical analysis