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On the stability of φ-uniform domains [On the stability of phi-uniform domains]

Y. Li; R. Klén; S. K. Sahoo; M. Vuorinen

dc.contributor.authorY. Li
dc.contributor.authorR. Klén
dc.contributor.authorS. K. Sahoo
dc.contributor.authorM. Vuorinen
dc.date.accessioned2022-10-28T12:26:42Z
dc.date.available2022-10-28T12:26:42Z
dc.identifier.urihttps://www.utupub.fi/handle/10024/159533
dc.description.abstract<p> We study two metrics, the quasihyperbolic metric and the distance ratio metric of a subdomain G &sub; ℝ. In the sequel, we investigate a class of domains, so called &phi;-uniform domains, defined by the property that these two metrics are comparable with respect to a homeomorphism &phi; from [0,&infin;) to itself. Finally, we discuss a number of stability properties of &phi;-uniform domains. In particular, we show that the class of &phi;-uniform domains is stable in the sense that removal of a geometric sequence of points from a &phi;-uniform domain yields a &phi;-uniform domain. &copy; 2013 Springer-Verlag Wien.</p>
dc.publisherSpringer-Verlag Wien
dc.titleOn the stability of φ-uniform domains [On the stability of phi-uniform domains]
dc.identifier.urlhttp://api.elsevier.com/content/abstract/scopus_id:84900326202
dc.identifier.urnURN:NBN:fi-fe2021042714106
dc.relation.volume174
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code2606101
dc.converis.publication-id1384788
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/1384788
dc.format.pagerange258
dc.format.pagerange231
dc.identifier.jour-issn0026-9255
dc.okm.affiliatedauthorVuorinen, Matti
dc.okm.affiliatedauthorKlén, Riku
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.discipline111 Mathematicsen_GB
dc.okm.internationalcopublicationinternational co-publication
dc.okm.internationalityInternational publication
dc.okm.typeJournal article
dc.publisher.placeWIEN; SACHSENPLATZ 4-6, PO BOX 89, A-1201 WIEN, AUSTRIA
dc.relation.doi10.1007/s00605-013-0576-0
dc.relation.ispartofjournalMonatshefte für Mathematik
dc.relation.issue2
dc.year.issued2014


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