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Measure Theory and Fine Properties of Functions

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Measure Theory and Fine Properties of Functions - Evans, Lawrence C, and Evans, Evans Craig, and Gariepy Ronald F
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This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff measure and the capacity in characterizing the fine properties of sets and functions. Topics covered include a quick review of abstract measure theory, theorems and differentiation in Mn, lower Hausdorff measures, area and coarea formulas for Lipschitz mappings and related change-of-variable formulas, and Sobolev functions and functions of bounded variation. The text ...

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Measure Theory and Fine Properties of Functions 2000, Routledge, Boca Raton, FL

ISBN-13: 9780849371578

Hardcover