Measure Theory and Fine Properties of Functions, Revised Edition 1st Edition

Author(s): Lawrence C. Evans
Publisher: Chapman & Hall
ISBN: 9781482242386
Edition: 1st Edition

$39,99

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Description

Description

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.