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
AN - SCOPUS:84858741374
SN - 1239-629X
VL - 37
SP - 215
EP - 228
JO - Annales Academiae Scientiarum Fennicae. Mathematica
JF - Annales Academiae Scientiarum Fennicae. Mathematica
IS - 1
ER -