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Estimates of the Bergman distance on Dini-smooth bounded planar domains

  • Autores: Nikolai Nikolov, Maria Trybula
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 67, Fasc. 3, 2016, págs. 407-414
  • Idioma: inglés
  • DOI: 10.1007/s13348-015-0150-2
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • Precise estimates for the Bergman distances of Dini-smooth bounded planar domains are given. These estimates imply that on such domains the Bergman distance almost coincides with the Carathéodory and Kobayashi distances.

  • Referencias bibliográficas
    • Balogh, Z.M., Bonk, M.: Gromov hyperbolicity and the Kobayashi metric on strictly pseudoconvex domains. Comment. Math. Helv. 75, 504–533 (2000)
    • Forstneric, F., Rosay, J.-P.: Localization ot the Kobayashi metric and the boundary continuity of proper holomorphic mappings. Math. Ann....
    • Herbort, G.: Estimation of the Carathéodory distance on pseudoconvex domains of finite type, whose boundary has a Levi form of corank at most...
    • Jarnicki, M., Nikolov, N.: Behavior of the Carathéodory metric near strictly convex boundary points. Univ. Iag. Acta Math. XL, 7–12 (2002)
    • Jarnicki, M., Pflug, P.: Invariant Distances and Metrics in Complex Analysis, de Gruyter Expositions in Mathematics, vol. 9. de Gruyter, Berlin...
    • Nikolov, N.: Estimates of invariant distances on “convex” domains. Ann. Mat. Pura Appl. 193, 1595–1605 (2014)
    • Nikolov, N.: Comparison of invariant functions on strongly pseudoconvex domains. J. Math. Anal. Appl. 421, 180–185 (2015)
    • Nikolov, N., Pflug, P., Thomas, P.J.: Upper bound for the Lempert function of smooth domains. Math. Z. 266, 425–430 (2010)
    • Venturini, S.: Comparison between the Kobayashi and the Carathéodory distances on strongly pseudoconvex bounded domains in \mathbb{C}^{n}....

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