A converse to the Schwarz lemma for planar harmonic maps

dc.contributor.authorFredrik Brevig, Ole
dc.contributor.authorOrtega Cerdà, Joaquim
dc.contributor.authorSeip, Kristian
dc.date.accessioned2021-02-03T09:04:50Z
dc.date.available2023-01-06T06:10:22Z
dc.date.issued2021-01-06
dc.date.updated2021-02-03T09:04:51Z
dc.description.abstractA sharp version of a recent inequality of Kovalev and Yang on the ratio of the $(H^1)^\ast$ and $H^4$ norms for certain polynomials is obtained. The inequality is applied to establish a sharp and tractable sufficient condition for the Wirtinger derivatives at the origin for harmonic self-maps of the unit disc which fix the origin.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec705447
dc.identifier.issn0022-247X
dc.identifier.urihttps://hdl.handle.net/2445/173610
dc.language.isoeng
dc.publisherElsevier
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1016/j.jmaa.2020.124908
dc.relation.ispartofJournal of Mathematical Analysis and Applications, 2021, vol. 497, num. 2
dc.relation.urihttps://doi.org/10.1016/j.jmaa.2020.124908
dc.rightscc-by-nc-nd (c) Elsevier, 2021
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationEspais de Hardy
dc.subject.classificationAnàlisi harmònica
dc.subject.otherHardy spaces
dc.subject.otherHarmonic analysis
dc.titleA converse to the Schwarz lemma for planar harmonic maps
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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