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Measure Theory and Fine Properties of Functions / Lawrence C. Evans and Ronald F. Gariepy

By: Contributor(s): Language: English Series: Textbooks in MathematicsPublication details: Boca Raton: CRC Press; ©2015Description: xiv, 299pISBN:
  • 9781138582491
Subject(s): DDC classification:
  • 515.42 EvaM
Summary: This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. It 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.
List(s) this item appears in: New Arrivals 01-15 October 2025, Vol. 06, Issue 28
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Item type Current library Collection Call number Copy number Status Barcode
Books Books Indian Institute of Technology Tirupati General Stacks Mathematics 515.42 EvaM (11535) (Browse shelf(Opens below)) Copy 1 Available 11535

This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space. It 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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