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Measure Theory and Fine Properties of Functions, Revised Edition : Textbooks in Mathematics - Lawrence Craig Evans

Measure Theory and Fine Properties of Functions, Revised Edition

By: Lawrence Craig Evans, Ronald F. Gariepy

eBook | 19 March 2024 | Edition Number 1

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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.

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Non-FictionMathematicsApplied MathematicsCalculus & Mathematical AnalysisFunctional Analysis & Transforms

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