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- W3148479733 abstract "A domain G in a Banach space is said to be -hyperbolic if it is a Gromov -hyperbolic space in the quasihyperbolic metric. Then G has the Gromov boundary @ G and the norm boundary @G. We show that the following properties are quantitatively equivalent: (1) G is C -uniform. (2) G is -hyperbolic and there is a natural bijective map G (@ G ! G (@G, which is -quasimobius rel @ G. (3) G is -hyperbolic and there is a natural -quasimobius homeomorphism @ G ! @G. In a euclidean space, this improves a result of Bonk{Heinonen{ Koskela, whose estimates depend on dimension and on a base point." @default.
- W3148479733 created "2021-04-13" @default.
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- W3148479733 date "2005-01-01" @default.
- W3148479733 modified "2023-09-27" @default.
- W3148479733 title "HYPERBOLIC AND UNIFORM DOMAINS IN BANACH SPACES" @default.
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