Existence of quasi-isometric mappings and Royden compactifications

Annales Academiae Scientiarum Fennicae Mathematica

Volumn 25, Issue 1, 2000, Pages 239-260

  Nakai, Mitsuru ^a  

^a NONE   (Japan)

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EID: 0039008253     PISSN: 1239629X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. FEDERER, H.: Geometric Measure Theory. - Reprint of the 1969 Edition, Springer, 1996.
2. GEHRING, F.W.: Extension theorems for quasiconformal mappings in n-space. - J. Analyse Math. 19, 1967, 149-169.
3. GEHRING, F.W.: Lipschitz mappings and the p-capacity of rings in n-space. - Ann. of Math. Stud. 66, 1971, 175-193.
4. HEINONEN, J., T. KILPELÄINEN, and O. MARTIO: Nonlinear Potential Theory of Degenerate Elliptic Equations. - Oxford Univ. Press, 1993.
5. LELONG-FERRAND, J.: Étude d'une classe d'applications Liée à des homomorphismes d'algebres de fonctions, et generalisant les quasi conformes. - Duke Math. J. 40, 1973, 163-186.
6. LEWIS, L.G.: Quasiconformal mappings and Royden algebras in space. - Trans. Amer. Math. Soc. 158, 1971, 481-492.
7. MAZ'YA, V.G.: Sobolev Spaces. - Springer, 1985.
8. NAKAI, M.: Algebraic criterion on quasiconformal equivalence of Riemann surfaces. -Nagoya Math. J. 16, 1960, 157-184.
9. NAKAI, M.: Royden algebras and quasiisometries of Riemannian manifolds. - Pacific J. Math. 40, 1972, 397-414.
10. NAKAI, M.: Existence of quasiconformal mappings between Riemann surfaces. - Hokkaido Math. J. 10 Sp., 1981, 525-530.
11. NAKAI, M.: Potential theory on Royden compactifications. - Bull. Nagoya Inst. Tech. 47, 1995, 171-191 (Japanese).
12. NAKAI, M.: Quasiisometric mappings and the variational capacity. - RIMS Koukyuroku (Seminar Notes at Res. Inst. Math. Sci. Kyoto Univ.) 1016, 1997, 117-135.
13. NAKAI, M., and H. TANAKA: Existence of quasiconformal mappings between Riemannian manifolds. - Kodai Math. J. 5, 1982, 122-131.
14. SARIO, L., and M. NAKAI: Classification Theory of Riemann Surfaces. - Springer, 1970.
15. SODERBORG, N.: Quasiregular mappings with finite multiplicity and Royden algebras. -Indiana Univ. Math. J. 49, 1991, 1143-1167.
16. SODERBORG, N.: A characterization of domains quasiconformally equivalent to the unit ball. - Michigan Math. J. 41, 1994, 363-370.
17. TANAKA, H.: Harmonic boundaries of Riemannian manifolds. - Nonlinear Anal. 14, 1990, 55-67.
18. TANAKA, H.: Kuramochi boundaries of Riemannian manifolds. - Potential Theory, edited by M. Kishi, Walter de Gruyter, 1992, pp. 321-329.
19. VÄISÄLÄ, J.: Lectures on n-dimensional Quasiconformal Mappings. - Lecture Notes in Math. 229, Springer, 1971.
20. YOSIDA, K.: Functional Analysis. - Springer, 1965.