Abstract
In this chapter we consider inclusion of balls defined by several metrics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anderson, G. D., Vamanamurthy, M. K., and Vuorinen, M. K.Conformal invariants, inequalities, and quasiconformal maps. Canadian Mathematical Society Series of Monographs and Advanced Texts. John Wiley & Sons, Inc., New York, 1997. With 1 IBM-PC floppy disk (3.5 inch; HD), A Wiley-Interscience Publication.
Klén, R. Local convexity properties of j-metric balls. Ann. Acad. Sci. Fenn. Math. 33, 1 (2008), 281–293.
Klén, R. Local convexity properties of quasihyperbolic balls in punctured space. J. Math. Anal. Appl. 342, 1 (2008), 192–201.
Klén, R., and Vuorinen, M. K. Inclusion relations of hyperbolic type metric balls. Publ. Math. Debrecen 81, 3–4 (2012), 289–311.
Klén, R., and Vuorinen, M. K. Inclusion relations of hyperbolic type metric balls II. Publ. Math. Debrecen 83, 1–2 (2013), 21–42.
Mohapatra, M. R., and Sahoo, S. K. A Gromov Hyperbolic Metric vs the Hyperbolic and Other Related Metrics. Comput. Methods Funct. Theory 18, 3 (2018), 473–493.
Seittenranta, P. Möbius-invariant metrics. Math. Proc. Cambridge Philos. Soc. 125, 3 (1999), 511–533.
Zhang, X. Comparison between Gromov hyperbolic metric and the hyperbolic metric. Comput. Methods Funct. Theory 18 (2018), 717–722.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Hariri, P., Klén, R., Vuorinen, M. (2020). Inclusion Results for Balls. In: Conformally Invariant Metrics and Quasiconformal Mappings. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-32068-3_14
Download citation
DOI: https://doi.org/10.1007/978-3-030-32068-3_14
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-32067-6
Online ISBN: 978-3-030-32068-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)