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OBSERVATIONS ON QUASIHYPERBOLIC GEOMETRY MODELED ON BANACH SPACES.
- Source :
-
Proceedings of the American Mathematical Society . Sep2018, Vol. 146 Issue 9, p3863-3873. 11p. - Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 146
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 130701263
- Full Text :
- https://doi.org/10.1090/proc/13989