Reifenberg parameterizations for sets with holes

Reifenberg parameterizations for sets with holes

by David, Guy

Type Book
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Title Statements

  • Full title :Reifenberg parameterizations for sets with holes / Guy David, Tatiana Toro.

Edition Statements

  • Publication Date:2011.

Publication Statements

Notes

"January 2012, volume 215, number 1012 (third of 5 numbers)."

The Physical Object

  • Description:v, 102 pages ; : 26 cm.

Edition Identifiers

  • ISBN:9780821853108, 0821853104
  • oclc:ocn756767608
  • LC Classification:QA312
  • Dewey Decimal:515/.42

Table of Contents

1. Introduction -- 2. Coherent families of balls -- 3. A partition unity -- 4.Definition of a mapping f on Eo -- 5. Local lipschiitz graphdescriptions of the Ek -- 6. Reifenberg-flatness of the image -- 7. Distortion estimates for Do k -- 8. Holder and Lipschitz properties of f on Eo -- 9. C2-regularity of the Ek and fields of linear isometries defined on Eo -- 10. The definition of g on the whole Rn -- 11. Holder and Lipschitz properties of g on Rn -- 12. Variants of the Reifenberg theorem -- 13. Local lower-Ahlfors regularity and a better sufficient bi-Lipschitz condition -- 14. Big pieces of bi-Lipschitz images and approximation by bi-Lipschitz domains -- 15. Uniform rectifiability and Ahlfors-regular Reifenberg-flat sets.

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