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Reifenberg parameterizations for sets with holes /
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Autres auteurs: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence, R.I. :
American Mathematical Society,
2011.
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| Collection: | Memoirs of the American Mathematical Society ;
no. 1012. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Chapter 1. Introduction Chapter 2. Coherent families of balls and planes Chapter 3. A partition of unity Chapter 4. Definition of a mapping $f$ on $\Sigma _0$ Chapter 5. Local Lipschitz graph descriptions of the $\Sigma _k$ Chapter 6. Reifenberg-flatness of the image Chapter 7. Distortion estimates for $D\sigma _k$ Chapter 8. Hölder and Lipschitz properties of $f$ on $\Sigma _0$ Chapter 9. $C^2$-regularity of the $\Sigma _k$ and fields of linear isometries defined on $\Sigma _0$ Chapter 10. The definition of $g$ on the whole $\mathbb {R}^n$ Chapter 11. Hölder and Lipschitz properties of $g$ on $\mathbb {R}^n$ Chapter 12. Variants of the Reifenberg theorem Chapter 13. Local lower-Ahlfors regularity and a better sufficient bi-Lipschitz condition Chapter 14. Big pieces of bi-Lipschitz images and approximation by bi-Lipschitz domains Chapter 15. Uniform rectifiability and Ahlfors-regular Reifenberg-flat sets.