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Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/559
DC FieldValueLanguage
dc.contributor.authorMelentijević, Petaren_US
dc.date.accessioned2022-08-13T10:40:01Z-
dc.date.available2022-08-13T10:40:01Z-
dc.date.issued2019-08-20-
dc.identifier.issn00018708en
dc.identifier.urihttps://research.matf.bg.ac.rs/handle/123456789/559-
dc.description.abstractThis paper deals with an extremal problem for bounded harmonic functions in the unit ball Bn. We solve the Khavinson conjecture in R3, an intriguing open question since 1992 posed by D. Khavinson, later considered in a general context by Kresin and Maz'ya. Precisely, we obtain the following inequality: [Formula presented] with ρ=|x|, thus sharpening the previously known with [Formula presented].en_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofAdvances in Mathematicsen_US
dc.subjectBounded harmonic functionsen_US
dc.subjectGradient of functionen_US
dc.subjectKhavinson problemen_US
dc.subjectRadial derivativeen_US
dc.subjectSharp estimateen_US
dc.subjectUnit ballen_US
dc.titleA proof of the Khavinson conjecture in R<sup>3</sup>en_US
dc.typeArticleen_US
dc.identifier.doi10.1016/j.aim.2019.06.025-
dc.identifier.scopus2-s2.0-85067899918-
dc.identifier.isi000477789300026-
dc.identifier.urlhttps://api.elsevier.com/content/abstract/scopus_id/85067899918-
dc.contributor.affiliationReal and Functional Analysisen_US
dc.relation.issn0001-8708en_US
dc.description.rankM21aen_US
dc.relation.firstpage1044en_US
dc.relation.lastpage1065en_US
dc.relation.volume352en_US
item.languageiso639-1en-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextNo Fulltext-
item.grantfulltextnone-
crisitem.author.deptReal and Functional Analysis-
crisitem.author.orcid0000-0003-4343-7459-
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