Measure Theory and Fine Properties of Functions, Revised Edition

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

List of contents

General Measure Theory. Hausdorff Measures. Area and Coarea Formulas. Sobolev Functions. Functions of Bounded Variation, Sets of Finite Perimeter. Differentiability, Approximation by C1 Functions. Bibliography.

About the author

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

Summary

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

Product details

• Authors: Lawrence C Evans, Lawrence C. (University of California Evans, Lawrence Craig Evans, Lawrence Craig (University of California Evans, Lawrence Craig Gariepy Evans, Ronald F Gariepy, Ronald F. Gariepy, Ronald F. (University of Kentucky Gariepy
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 14.04.2015
• EAN: 9781482242386
• ISBN: 978-1-4822-4238-6
• No. of pages: 314
• Series: Textbooks in Mathematics
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous