Convexity properties of quasihyperbolic balls on Banach spaces

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Convexity properties of quasihyperbolic balls on Banach spaces. / Rasila, Antti; Talponen, Jarno.

julkaisussa: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, Vuosikerta 37, Nro 1, 02.2012, s. 215-228.

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Rasila, Antti ; Talponen, Jarno. / Convexity properties of quasihyperbolic balls on Banach spaces. Julkaisussa: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. 2012 ; Vuosikerta 37, Nro 1. Sivut 215-228.

Bibtex - Lataa

@article{68469d3bd9444a7c85e4b699bf83264f,
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.",
keywords = "Distance ratio metric, Quasihyperbolic ball, Quasihyperbolic geodesic",
author = "Antti Rasila and Jarno Talponen",
year = "2012",
month = "2",
doi = "10.5186/aasfm.2012.3719",
language = "English",
volume = "37",
pages = "215--228",
journal = "ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA",
issn = "1239-629X",
number = "1",

}

RIS - Lataa

TY - JOUR

T1 - Convexity properties of quasihyperbolic balls on Banach spaces

AU - Rasila, Antti

AU - Talponen, Jarno

PY - 2012/2

Y1 - 2012/2

N2 - 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.

AB - 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.

KW - Distance ratio metric

KW - Quasihyperbolic ball

KW - Quasihyperbolic geodesic

UR - http://www.scopus.com/inward/record.url?scp=84858741374&partnerID=8YFLogxK

U2 - 10.5186/aasfm.2012.3719

DO - 10.5186/aasfm.2012.3719

M3 - Article

VL - 37

SP - 215

EP - 228

JO - ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

JF - ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA

SN - 1239-629X

IS - 1

ER -

ID: 12921262