Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 32, 2007, 559-578
Helsingin yliopisto, Matematiikan ja
tilastotieteen laitos
PL 68, 00014 Helsinki, Finland; jussi.vaisala 'at' helsinki.fi
Abstract. The paper deals with basic smoothness and bilipschitz properties of geodesics, balls and spheres in the quasihyperbolic metric of a domain in a Hilbert space.
2000 Mathematics Subject Classification: Primary 30C65.
Key words: Quasihyperbolic geodesic, quasihyperbolic ball.
Reference to this article: J. Väisälä: Quasihyperbolic geometry of domains in Hilbert spaces. Ann. Acad. Sci. Fenn. Math. 32 (2007), 559-578.
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