A VERY SIMPLE CHARACTERIZATION OF GROMOV HYPERBOLICITY FOR A SPECIAL KIND OF DENJOY DOMAINS

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참고문헌 (47)

1. H. Aikawa, "Positive harmonic functions of finite order in a Denjoy type domain", Proc. Amer. Math. Soc, 131(12), pp.3873~3881 (2003)
2. V. Alvarez, "Isoperimetric inequalities in Riemann surfaces of infinite type", Rev. Mat. Iberoamericana, 15(2), pp.353~427 (1999)
3. V. Alvarez, "Gromov hyperbolicity of Denjoy domains", Geom. Dedicata, 121, pp.221~245 (2006)
4. V. Alvarez, "Estimates for nonlinear harmonic “measures” on trees", Michigan Math. J, 49(1), pp.47~64 (2001)
5. J. W. Anderson, "Hyperbolic Geometry" (1999), Springer
6. Z. M. Balogh, "Geometric characterizations of Gromov hyperbolicity", Invent. Math, 153(2), pp.261~301 (2003)
7. A. Basmajian, "Constructing pairs of pants", Ann. Acad. Sci. Fenn. Ser. A I Math, 15(1), pp.65~74 (1990)
8. A. Basmajian, "Hyperbolic structures for surfaces of infinite type", Trans. Amer. Math. Soc, 336(1), pp.421~444 (1993)
9. A. F. Beardon, "The Geometry of Discrete Groups" (1983), Springer-Verlag
10. L. Bers, "An inequality for Riemann surfaces", pp.87~93 (1985), Springer
11. M. Bonk, "Uniformizing Gromov hyperbolic spaces" (2001), Asterisque
12. A. Cant´on, "On harmonic functions on trees", Potential Anal, 15(3), pp.199~244 (2001)
13. M. Coornaert, "Notes sur les groups hyperboliques de Gromov" (1989), I.R.M.A
14. J. L. Fern´andez, "Area growth and Green’s function of Riemann surfaces", Ark. Mat, 30(1), pp.83~92 (1992)
15. J. Garnett, "The corona theorem for Denjoy domains", Acta Math, 155(1), pp.27~40 (1985)
16. E. Ghys, "Panorama, Sur les groupes hyperboliques d’apr es Mikhael Gromov", Progr. Math, 83, pp.1~25 (1990), Birkhauser Boston
17. M. J. Gonz´alez, "An estimate on the distortion of the logarithmic capacity", Proc. Amer. Math. Soc, 126(5), pp.1429~1431 (1998)
18. M. Gromov, "Hyperbolic groups, Essays in group theory", Math. Sci. Res. Inst. Publ, 8, pp.75~263 (1987), Springer
19. M. Gromov, "Metric Structures for Riemannian and Non-Riemannian Spaces In Progress in Mathematics" (1999), Birkhauser Boston, Inc
20. A. Haas, "Dirichlet points, Garnett points, and infinite ends of hyperbolic surfaces", I, Ann. Acad. Sci. Fenn. Math, 21(1), pp.3~29 (1996)
21. P. A. Hasto, "Gromov hyperbolicity of the jG and ˜jG metrics", Proc. Amer. Math. Soc, 134(4), pp.1137~1142 (2006)
22. P. A. Hasto, "Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics", To appear in J. Math. Soc
23. P. A. Hasto, "Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains", Bull. Lond. Math. Soc, 42, pp.282~294 (2010)
24. P. A. Hasto, "Comparative Gromov hyperbolicity results for the hyperbolic and quasihyperbolic metrics", Complex Var. Elliptic Equ, 55(1), pp.127~135 (2010)
25. P. A. Hasto, "Uniformly separated sets and Gromov hyperbolicity of domains with the quasi- hyperbolicity metric", To appear in Medit. J. Math
26. P. A. Hasto, "Gromov hyperbolicity of Denjoy domains through fundamental domains", ~
27. I. Holopainen, "p-harmonic functions on graphs and manifolds", Manuscripta Math, 94(1), pp.95~110 (1997)
28. M. Kanai, "Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds", J. Math. Soc. Japan, 37(3), pp.391~413 (1985)
29. M. Kanai, "Rough isometries and the parabolicity of Riemannian manifolds", J. Math. Soc. Japan, 38(2), pp.227~238 (1986)
30. M. Kanai, "Analytic inequalities, and rough isometries between noncompact Riemannian manifolds, Curvature and topology of Riemannian manifolds", Lecture Notes in Math, 1201, pp.122~137 (1986), Springer
31. A. Karlsson, "The Hilbert metric and Gromov hyperbolicity", Enseign. Math, 48(1), pp.73~89 (2002)
32. H. Lind´en, "Gromov hyperbolicity of certain conformal invariant metrics", Ann. Acad. Sci. Fenn. Math, 32(1), pp.279~288 (2007)
33. F. Paulin, "On the critical exponent of a discrete group of hyperbolic isometries", Differential Geom. Appl, 7(3), pp.231~236 (1997)
34. A. Portilla, "Gromov hyperbolicity through decomposition of metrics spaces. II", J. Geom. Anal, 14(1), pp.123~149 (2004)
35. A. Portilla, "The topology of balls and Gromov hyperbolicity of Riemann surfaces", Differential Geom. Appl, 21(3), pp.317~335 (2004)
36. A. Portilla, "The role of funnels and punctures in the Gromov hyperbolicity of Riemann surfaces", Proc. Edinb. Math. Soc, 49(2), pp.399~425 (2006)
37. A. Portilla, "Stability of Gromov hyperbolicity", J. Adv. Math. Stud, 2(2), pp.77~96 (2009)
38. A. Portilla, "A real variable characterization of Gromov hyperbolicity of flute surfaces", To appear in Osaka J. Math, ~
39. A. Portilla, "A characterization of Gromov hyperbolicity of surfaces with variable negative curvature", Publ. Mat, 53(1), pp.83~110 (2009)
40. J. M. Rodriguez, "Isoperimetric inequalities and Dirichlet functions of Riemann surfaces", Publ. Mat, 38(1), pp.243~253 (1994)
41. J. M. Rodriguez, "Two remarks on Riemann surfaces", Publ. Mat, 38(2), pp.463~477 (1994)
42. J. M. Rodriguez, "Location of geodesics and isoperimetric inequalities in Denjoy domains", ~
43. J. M. Rodriguez, "Gromov hyperbolicity through decomposition of metric spaces", Acta Math. Hungar, 103(1), pp.107~138 (2004)
44. J. M. Rodriguez, "A new characterization of Gromov hyperbolicity for negatively curved surfaces", Publ. Mat, 50(2), pp.249~278 (2006)
45. J. M. Rodriguez, "Gromov hyperbolicity of Riemann surfaces", Acta Math. Sin, 23(2), pp.209~228 (2007)
46. P. M. Soardi, "Rough isometries and Dirichlet finite harmonic functions on graphs", Proc. Amer. Math. Soc, 119(4), pp.1239~1248 (1993)
47. E. Tour´ıs, "Graphs and Gromov hyperbolicity of non-constant negatively curved surfaces", J. Math. Anal. Appl

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