Area type inequalities and integral means of harmonic functions on the unit ball

DC Field	Value	Language
dc.contributor.author	Stević, Stevo	en
dc.date.accessioned	2020-05-01T20:13:42Z	-
dc.date.available	2020-05-01T20:13:42Z	-
dc.date.issued	2007-04-01	en
dc.identifier.issn	0025-5645	en
dc.identifier.uri	http://researchrepository.mi.sanu.ac.rs/handle/123456789/1657	-
dc.description.abstract	In this paper we investigate the relationship among the following integrals ∫B\|u(x)\|p-i\|∇u(x)\|i(1 - \|x\| ) α, where i ∈ {0,1,2}, 1 < p < ∞, α >0, and where u is an arbitrary harmonic function on the unit ball B ⊂ Rn. Growth of the integral means of harmonic functions is also compared to the integral means of their gradient.	en
dc.publisher	Mathematical Society of Japan	-
dc.relation.ispartof	Journal of the Mathematical Society of Japan	en
dc.subject	Area inequality \| Harmonic functions \| Integral mean \| Weighted integrals	en
dc.title	Area type inequalities and integral means of harmonic functions on the unit ball	en
dc.type	Article	en
dc.identifier.doi	10.2969/jmsj/05920583	en
dc.identifier.scopus	2-s2.0-34547444964	en
dc.contributor.affiliation	Mathematical Institute of the Serbian Academy of Sciences and Arts	-
dc.relation.firstpage	583	en
dc.relation.lastpage	601	en
dc.relation.issue	2	en
dc.relation.volume	59	en
dc.description.rank	M22	-
item.openairetype	Article	-
item.fulltext	No Fulltext	-
item.cerifentitytype	Publications	-
item.grantfulltext	none	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
crisitem.author.orcid	0000-0002-7202-9764	-

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