Measure theory and fine properties of functions /
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...
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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton :
CRC Press,
1992
Boca Raton : c1992 Boca Raton, Fla. : c1992 Boca Raton : c1992 |
| Series: | Studies in advanced mathematics
Studies in advanced mathematics |
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Table of Contents:
- General measure theory
- Hausdorff measure
- Area and coarea formulas
- Sobolev functions
- BV [i.e. bounded variation] functions and sets of finite perimeter
- Differentiability and approximation by C¹ functions