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Reifenberg Parameterizations for Sets with Holes.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2012Copyright date: ©2011Edition: 1st edDescription: 1 online resource (114 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821885178
Subject(s): Genre/Form: Additional physical formats: Print version:: Reifenberg Parameterizations for Sets with HolesDDC classification:
  • 515/.42
LOC classification:
  • QA312 -- .D385 2011eb
Online resources:
Contents:
Intro -- Contents -- 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 0 -- Chapter 5. Local Lipschitz graph descriptions of the k -- Chapter 6. Reifenberg-flatness of the image -- Chapter 7. Distortion estimates for Dk -- Chapter 8. Hölder and Lipschitz properties of f on 0 -- Chapter 9. C2-regularity of the k and fields of linear isometries defined on 0 -- Chapter 10. The definition of g on the whole Rn -- Chapter 11. Hölder and Lipschitz properties of g on Rn -- 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 -- Bibliography.
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Intro -- Contents -- 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 0 -- Chapter 5. Local Lipschitz graph descriptions of the k -- Chapter 6. Reifenberg-flatness of the image -- Chapter 7. Distortion estimates for Dk -- Chapter 8. Hölder and Lipschitz properties of f on 0 -- Chapter 9. C2-regularity of the k and fields of linear isometries defined on 0 -- Chapter 10. The definition of g on the whole Rn -- Chapter 11. Hölder and Lipschitz properties of g on Rn -- 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 -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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