Measure Theory and Fine Properties of Functions, Revised Edition
Author | : Lawrence Craig Evans |
Publisher | : CRC Press |
Total Pages | : 314 |
Release | : 2015-04-17 |
ISBN-10 | : 9781482242393 |
ISBN-13 | : 1482242397 |
Rating | : 4/5 (93 Downloads) |
Book excerpt: This book emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. The book covers theorems and differentiation in Rn , Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation. This second edition includes countless improvements in notation, format, and clarity of exposition. Also new are several sections describing the p- theorem, weak compactness criteria in L1, and Young measure methods for weak convergence. In addition, the bibliography has been updated.