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Measure Theory and Fine Properties of Functions, Revised Edition

Bag om Measure Theory and Fine Properties of Functions, Revised Edition

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 ¿-¿ theorem, weak compactness criteria in L1, and Young measure methods for weak convergence. In addition, the bibliography has been updated.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9781482242386
  • Indbinding:
  • Hardback
  • Sideantal:
  • 314
  • Udgivet:
  • 14. april 2015
  • Størrelse:
  • 163x244x23 mm.
  • Vægt:
  • 606 g.
  • 8-11 hverdage.
  • 26. november 2024
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Beskrivelse af Measure Theory and Fine Properties of Functions, Revised Edition

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 ¿-¿ theorem, weak compactness criteria in L1, and Young measure methods for weak convergence. In addition, the bibliography has been updated.

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