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

chapter 1|80 pages

- General Measure Theory

chapter 2|20 pages

- Hausdorff Measures

chapter 3|42 pages

- Area and Coarea Formulas

chapter 4|50 pages

- Sobolev Functions