Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 38, 2013, 825-837

TANGENTIAL PROPERTIES OF QUASIHYPERBOLIC GEODESICS IN BANACH SPACES

Jussi Väisälä

Helsingin yliopisto, Matematiikan ja tilastotieteen laitos
PL 68, 00014 Helsinki, Finland; jussi.vaisala 'at' helsinki.fi

Abstract. The main result states that in a large class of Banach spaces including all L_p spaces with 1 < p < \infty, quasihyperbolic geodesics of domains are smooth.

2010 Mathematics Subject Classification: Primary 30C65, 46B20.

Key words: Quasihyperbolic metric, geodesic, Banach space.

Reference to this article: J. Väisälä: Tangential properties of quasihyperbolic geodesics in Banach spaces. Ann. Acad. Sci. Fenn. Math. 38 (2013), 825-837.

Full document as PDF file

doi:10.5186/aasfm.2013.3843