Weighted integrals of holomorphic functions on the polydisc

DC Field	Value	Language
dc.contributor.author	Stević, Stevo	en
dc.date.accessioned	2020-05-01T20:13:47Z	-
dc.date.available	2020-05-01T20:13:47Z	-
dc.date.issued	2004-01-01	en
dc.identifier.issn	0232-2064	en
dc.identifier.uri	http://researchrepository.mi.sanu.ac.rs/handle/123456789/1702	-
dc.description.abstract	We show that a holomorphic function on the unit polydisc Un in Cn belongs to the weighted Bergman space Aαp(Un), when p ∈ (0, 1], if and only if all weighted derivations of order \|k\| (with positive orders of derivations) belong to the related weighted Lebesgue space Lαp(Un). This result extends Theorem 1.8 by Benke and Chang in [Nagoya Math. J. 159 (2000), 25-43].	en
dc.publisher	European Mathematical Society	-
dc.relation.ispartof	Zeitschrift fur Analysis und ihre Anwendung	en
dc.subject	Holomorphic function \| Polydisc \| Weighted Bergman space	en
dc.title	Weighted integrals of holomorphic functions on the polydisc	en
dc.type	Article	en
dc.identifier.doi	10.4171/ZAA/1211	en
dc.identifier.scopus	2-s2.0-8744220232	en
dc.relation.firstpage	577	en
dc.relation.lastpage	587	en
dc.relation.issue	3	en
dc.relation.volume	23	en
dc.description.rank	M23	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
item.openairetype	Article	-
item.grantfulltext	none	-
item.cerifentitytype	Publications	-
item.fulltext	No Fulltext	-
crisitem.author.orcid	0000-0002-7202-9764	-

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