| Description |
1 online resource (xiv, 296 pages) : illustrations |
| Series |
Textbooks in Mathematics |
|
Textbooks in mathematics (Boca Raton, Fla.)
|
| 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 |
| Summary |
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 |
| Notes |
"A Chapman & Hall book." |
| Bibliography |
Includes bibliographical references (pages 289-291) |
| Notes |
English |
|
Print version record |
| Subject |
Measure theory.
|
|
Functional analysis.
|
|
MATHEMATICS -- Calculus.
|
|
MATHEMATICS -- Mathematical Analysis.
|
|
Functional analysis
|
|
Measure theory
|
| Form |
Electronic book
|
| Author |
Gariepy, Ronald F., author.
|
| ISBN |
9781482242393 |
|
1482242397 |
|
0429161484 |
|
9780429161483 |
|
