Harmonic Bergman spaces on the complement of a lattice

Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/988

DC Field	Value	Language
dc.contributor.author	Shkheam, Abejela	en_US
dc.contributor.author	Abaob, Ali	en_US
dc.contributor.author	Arsenović, Miloš	en_US
dc.date.accessioned	2022-08-17T11:10:52Z	-
dc.date.available	2022-08-17T11:10:52Z	-
dc.date.issued	2013-07-18	-
dc.identifier.issn	03545180	en
dc.identifier.uri	https://research.matf.bg.ac.rs/handle/123456789/988	-
dc.description.abstract	We investigate harmonic Bergman spaces bp = bp(Ω), 0 < p < ∞, where Ω = ℝn \ ℤn and prove that bq ⊂ bp for n/(k + 1) ≤ q < p < n/k. In the planar case we prove that bp is non empty for all 0 < p < ∞. Further, for each 0 < p < ∞ there is a non-trivial f ∈ bp tending to zero at infinity at any prescribed rate.	en
dc.relation.ispartof	Filomat	en
dc.subject	Bergman spaces	en
dc.subject	Harmonic functions	en
dc.subject	Integer lattice	en
dc.title	Harmonic Bergman spaces on the complement of a lattice	en_US
dc.type	Article	en_US
dc.identifier.doi	10.2298/FIL1302245S	-
dc.identifier.scopus	2-s2.0-84880108869	-
dc.identifier.url	https://api.elsevier.com/content/abstract/scopus_id/84880108869	-
dc.contributor.affiliation	Mathematical Analysis	en_US
dc.relation.firstpage	245	en
dc.relation.lastpage	249	en
dc.relation.volume	27	en
dc.relation.issue	2	en
item.fulltext	No Fulltext	-
item.openairetype	Article	-
item.grantfulltext	none	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
item.cerifentitytype	Publications	-
crisitem.author.dept	Mathematical Analysis	-
crisitem.author.orcid	0000-0002-5450-2407	-
Appears in Collections:	Research outputs

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