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

By:

Evans, Lawrence C

Contributor(s):

Gariepy, Ronald F

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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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Barcode
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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