Observations on quasihyperbolic geometry modeled on banach spaces

Antti Rasila, Jarno Talponen, Xiaohui Zhang

Research output: Contribution to journalArticleScientificpeer-review

2 Citations (Scopus)

Abstract

In this paper, we continue our study of the quasihyperbolic metric over Banach spaces. The main results of the paper present a criterion for smoothness of geodesics of quasihyperbolic type metrics in Banach spaces, under a Dini type condition on the weight function, which improves an earlier result of the first two authors. We also answer a question posed by the first two authors in an earlier paper with R. Klén and present results related to the question of smoothness of quasihyperbolic balls.

Original languageEnglish
Pages (from-to)3863-3873
Number of pages11
JournalProceedings of the American Mathematical Society
Volume146
Issue number9
DOIs
Publication statusPublished - 1 Jan 2018
MoE publication typeA1 Journal article-refereed

Keywords

  • Banach space
  • Geodesic
  • Quasihyperbolic metric

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