On Harnack inequality and harmonic Schwarz lemma

Tietueen suppeat tiedot
dc.contributor.authorKargar, Rahim
dc.contributor.organizationfi=matematiikka|en=Mathematics|
dc.contributor.organization-code1.2.246.10.2458963.20.41687507875
dc.converis.publication-id421363386
dc.converis.urlhttps://research.utu.fi/converis/portal/Publication/421363386
dc.date.accessioned2026-01-21T15:07:32Z
dc.date.available2026-01-21T15:07:32Z
dc.description.abstractIn this paper, we study the (s, C(s))-Harnack inequality in a domain G ⊂ Rn for s ∈ (0, 1) and C(s) ≥ 1 and present a series of inequalities related to (s, C(s))-Harnack functions and the Harnack metric. We also investigate the behavior of the Harnack metric under K-quasiconformal and K-quasiregular mappings, where K ≥ 1. Finally, we provide a type of harmonic Schwarz lemma and improve the Schwarz-Pick estimate for a real-valued harmonic function.
dc.format.pagerange940
dc.format.pagerange954
dc.identifier.eissn1496-4287
dc.identifier.jour-issn0008-4395
dc.identifier.olddbid214122
dc.identifier.oldhandle10024/197140
dc.identifier.urihttps://www.utupub.fi/handle/11111/56462
dc.identifier.urlhttps://doi.org/10.4153/S0008439524000298
dc.identifier.urnURN:NBN:fi-fe2025082790774
dc.language.isoen
dc.okm.affiliatedauthorKargar, Rahim
dc.okm.discipline111 Mathematicsen_GB
dc.okm.discipline111 Matematiikkafi_FI
dc.okm.internationalcopublicationnot an international co-publication
dc.okm.internationalityInternational publication
dc.okm.typeA1 ScientificArticle
dc.publisherCambridge University Press
dc.publisher.countryUnited Kingdomen_GB
dc.publisher.countryBritanniafi_FI
dc.publisher.country-codeGB
dc.publisher.placeCambridge
dc.relation.doi10.4153/S0008439524000298
dc.relation.ispartofjournalCanadian Mathematical Bulletin
dc.relation.issue4
dc.relation.volume67
dc.source.identifierhttps://www.utupub.fi/handle/10024/197140
dc.titleOn Harnack inequality and harmonic Schwarz lemma
dc.year.issued2024

Tiedostot

Näytetään 1 - 1 / 1
Name:
on-harnack-inequality-and-harmonic-schwarz-lemma.pdf
Size:
337.1 KB
Format:
Adobe Portable Document Format
Lataa

Kokoelmat

Rinnakkaistallenteet