Measure Theory and Fine Properties of Functions, Revised Edition
indgår i Textbooks in Mathematics serien
- Indbinding:
- Hardback
- Sideantal:
- 314
- Udgivet:
- 14. april 2015
- Størrelse:
- 163x244x23 mm.
- Vægt:
- 606 g.
- 8-11 hverdage.
- 26. november 2024
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- 1 valgfrit digitalt ugeblad
- 20 timers lytning og læsning
- Adgang til 70.000+ titler
- Ingen binding
Abonnementet koster 75 kr./md.
Ingen binding og kan opsiges når som helst.
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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