Bi-lipschitz decomposition of Lipschitz functions into a metric space

Revista Matematica Iberoamericana

Volumn 25, Issue 2, 2009, Pages 521-531

  Schul, Raanan ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Bi Lipschitz; Lipschitz; Metric space; Sard's theorem; Uniform rectifiability

Indexed keywords

EID: 70349466212     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: 10.4171/RMI/574     Document Type: Article

References (10)

1. David, G.: Morceaux de graphes lipschitziens et intégrates singulières sur une surface.. Rev. Mat. Iberoamericana 4 (1988), no. 1, 73-114.
2. David, G.: Wavelets and singular integrals on curves and surfaces. Lecture Notes in Mathematics 1465. Springer-Verlag, Berlin, 1991.
3. [3j David, G. and Semmes, S.: Analysis of and on uniformly rectifiable sets. Mathematical Surveys and Monographs 38. American Mathematical Society, Providence, RI, 1993.
4. David, G. and Semmes, S.: Fractured fractals and broken dreams. Selfsimilar geometry through metric and measure. Oxford Lecture Series in Mathematics and its Applications 7. The Clarendon Press, Oxford University Press, New York, 1997.
5. Heinonen, J.: Geometric embeddings of metric spaces. Report. University of Jyväskylä Department of Mathematics and Statistics 90. University of Jyväskylä, Jyväskylä, 2003.
6. Heinonen, J. and Semmes, S.: Thirty-three yes or no questions about mappings, measures, and metrics. Conform. Geom. Dyn. 1 (1997), 1-12 (electronic).
7. Jones, P. W.: Lipschitz and bi-Lipschitz functions. Rev. Mat. Iberoamericana 4 (1988), no. 1, 115-121.
8. Kirchheim, B.: Rectifiable metric spaces: local structure and regularity of the Hausdorff measure. Proc. Amer. Math. Soc. 121 (1994), no. 1, 113-123.
9. Schul, R.: Ahlfors-regular curves in metric spaces. Ann. Acad. Sci. Fenn. Math. 32 (2007), no. 2, 437-460.
10. Schul, R.: Analyst's traveling salesman theorems. A survey. In: In the tradition of Ahlfors and Bers. IV, 209-220. Contemp. Math. 432. Amer. Math. Soc, Providence, RI, 2007.