Convexity properties of quasihyperbolic balls on Banach spaces

Antti Rasila; Jarno Talponen

doi:10.5186/aasfm.2012.3719

Convexity properties of quasihyperbolic balls on Banach spaces

Antti Rasila^*, Jarno Talponen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

Abstract

We study the convexity and starlikeness of metric balls on Banach spaces when the metric is the quasihyperbolic metric or the distance ratio metric. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are considered.

Original language	English
Pages (from-to)	215-228
Number of pages	14
Journal	Annales Academiae Scientiarum Fennicae Mathematica
Volume	37
Issue number	1
DOIs	https://doi.org/10.5186/aasfm.2012.3719
State	Published - Feb 2012
Externally published	Yes

Keywords

Distance ratio metric
Quasihyperbolic ball
Quasihyperbolic geodesic

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title = "Convexity properties of quasihyperbolic balls on Banach spaces",

abstract = "We study the convexity and starlikeness of metric balls on Banach spaces when the metric is the quasihyperbolic metric or the distance ratio metric. In particular, problems related to these metrics on convex domains, and on punctured Banach spaces, are considered.",

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KW - Quasihyperbolic geodesic

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Convexity properties of quasihyperbolic balls on Banach spaces

Abstract

Keywords

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