2nd Edition

Measure Theory and Fine Properties of Functions

By Lawrence C. Evans Copyright 2025
339 Pages 30 B/W Illustrations
by Chapman & Hall

339 Pages 30 B/W Illustrations
by Chapman & Hall

This popular textbook provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space, with emphasis upon the roles of Hausdorff measure and capacity in characterizing the fine properties of sets and functions. Measure Theory and Fine Properties of Functions, Second Edition includes many interesting items working mathematical analysts need to know,... Read more

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

Biography

Lawrence C. Evans, University of California, Berkeley, USA

Ronald F. Gariepy, University of Kentucky, Lexington, USA