Ebook: Measure theory and fine properties of functions
Author: Evans Lawrence C., Gariepy Ronald F
- Genre: Mathematics
- Tags: Measure theory., Functional analysis., MATHEMATICS -- Calculus., MATHEMATICS -- Mathematical Analysis.
- Series: Textbooks in mathematics (Boca Raton Fla.)
- Year: 2015
- Publisher: CRC Press
- Edition: Revised edition
- Language: English
- pdf
Measure Theory and Fine Properties of Functions, Revised Edition 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. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff Read more...
Abstract: Measure Theory and Fine Properties of Functions, Revised Edition 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. Topics covered include a quick review of abstract measure theory, theorems and differentiation in ℝn, Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions as well as functions of bounded variation.The text provides complet