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math.MGOct 16, 2007
38
citations (OpenAlex)
authors
  • Riku Klen
institutions
  • University of Turku
arXiv abstractPDF
paper

Local Convexity Properties of Quasihyperbolic Balls in Punctured Space

arXiv:0710.2973 · doi:10.1016/j.jmaa.2007.12.008

Abstract

This paper deals with local convexity properties of the quasihyperbolic metric in the punctured space. We consider convexity and starlikeness of quasihyperbolic balls.

arXiv commentSubmitted to Journal of Mathematical Analysis and Applications

Cited by in corpus (16)

  • Quasihyperbolic Geometry in Euclidean and Banach Spaces
  • Geometry of Metrics
  • Close-to-convexity of quasihyperbolic and j-metric balls
  • Geometric properties of the Cassinian metric
  • Freely quasiconformal maps and distance ratio metric
  • On quasimöbius maps in real Banach spaces
  • Subdomain geometry of hyperbolic type metrics
  • Hyperbolic type distances in starlike domains
  • Quasiconformal maps with bilipschitz or identity boundary values in Banach spaces
  • Sharp Lipschitz constants for the distance ratio metric
  • On the subinvariance of uniform domains in Banach spaces
  • On removability properties of ψ-uniform domains in Banach spaces
  • Observations on quasihyperbolic geometry modeled on Banach spaces
  • Local properties of quasihyperbolic and freely quasiconformal mappings
  • Lipschitz conditions and the distance ratio metric
  • On John domains in Banach spaces
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