Measure Theory and Fine Properties of Functions, Revised Edition

Download or read book Measure Theory and Fine Properties of Functions, Revised Edition written by Lawrence Craig Evans and published by CRC Press. This book was released on 2015-04-17 with total page 314 pages. Available in PDF, EPUB and Kindle. 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.