Conformal metrics and size of the boundary

American Journal of Mathematics

Volumn 124, Issue 6, 2002, Pages 1247-1287

  Bonk, Mario ^a   Koskela, Pekka ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b UNIVERSITY OF JYVÄSKYLÄ   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036904440     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2002.0034     Document Type: Article

References (10)

1. B. Bojarski, Remarks on Sobolev imbedding inequalities, Proc. of the Conference on Complex Analysis (Joensuu 1987), Lecture Notes in Math., vol. 1351, Springer-Verlag, Berlin, 1988, pp. 52-68.
2. M. Bonk, J. Heinonen and S. Rohde, Doubling conformal densities, J. Reine Angew. Math. 541 (2001), 117-141.
3. M. Bonk, P. Koskela and S. Rohde, Conformal metrics on the unit ball in Euclidean space, Proc. London Math. Soc. (3) 77 (1998), 635-664.
4. B. Hanson, Quasiconformal analogues of a theorem of Smirnov, Math. Scand. 75 (1994), 133-149.
5. J. Heinonen, The boundary absolute continuity of quasiconformal mappings II, Rev. Mat. Iberoamericana 12 (1996), 697-725.
6. P. Koskela and S. Rohde, Hausdorff dimension and mean porosity, Math. Ann. 309 (1997), 593-609.
7. T. Tossavainen, On the connectivity properties of the p-boundary of the unit ball, Ann. Acad. Sci. Fenn. Math. Diss. 123 (2000), 1-38.
8. J. Väisälä, Lectures on n-dimensional Quasiconformal Mappings, Lecture Notes in Math., vol. 229, Springer-Verlag, Berlin, 1971.
9. _, The wall conjecture on domains in Euclidean spaces, Manuscripta Math. 93 (1997), 515-534.
10. _, The free quasiworld. Freely quasiconformal and related maps in Banach spaces, Quasiconformal Geometry and Dynamics (Lublin 1996), Banach Center Publ., vol. 48, Polish Acad. Sci., Warsaw, 1999, pp. 55-118.