TY  - BOOK
AU  - Evans,Lawrence C.
AU  - Gariepy,Ronald F.
TI  - Measure theory and fine properties of functions
T2  - Textbooks in mathematics
SN  - 9781482242386 (hardback : acidfree paper)
U1  - 515.42 23
PY  - 2015///
CY  - Boca Raton : 
PB  - CRC Press, 
KW  - Measure theory
KW  - Functional analysis
N1  - Includes bibliographical references and index; 1. General 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
N2  - 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
ER  -