Ahlfors-David regular sets and Bilipschitz maps

Annales Academiae Scientiarum Fennicae Mathematica

Volumn 34, Issue 1, 2009, Pages 487-502

  Mattila, Pertti ^a   Saaranen, Pirjo ^b  

^a UNIVERSITY OF HELSINKI   (Finland)

^b HAAGA HELIA UNIVERSITY OF APPLIED SCIENCES   (Finland)

Author keywords

Bilipschitz mapping; Regular set

Indexed keywords

EID: 73449100835     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. DAVID, G., and S. SEMMES: Analysis of and on uniformly rectifiable sets. Surveys and Monographs 38, Amer. Math. Soc., 1993.
2. DAVID, G., and S. SEMMES: Fractured fractals and broken dreams. Oxford University Press, 1997.
3. FALCONER, K. J., and D. T. MARSH: On the Lipschitz equivalence of Cantor sets. Mathematika 39, 1992, 223-233.
4. FEDERER, H.: Geometric measure theory. Springer-Verlag, 1969.
5. HUTCHINSON, J. E.: Fractals and self similarity. Indiana Univ. Math. J. 30, 1981, 713-747.
6. n. Harwood Academic Publishers, 1984.
7. MATTILA, P.: Geometry of sets and measures in Euclidean spaces. Cambridge University Press, 1995.
8. RAO, H., H.-J. RUAN, and L.-F. XI: Lipschitz equivalence and self-similar sets. C. R. Math. Acad. Sci. Paris 342:3, 2006, 191-196.
9. RAO, H., H.-J. RUAN, and Y.-M. YANG: Gap sequence, Lipschitz equivalence and box dimension of fractals. Nonlinearity 21, 2008, 1339-1347.