Norm of the Hilbert matrix on Bergman spaces

DC Field	Value	Language
dc.contributor.author	Božin, Vladimir	en
dc.contributor.author	Karapetrović, Boban	en
dc.date.accessioned	2020-04-26T19:36:36Z	-
dc.date.available	2020-04-26T19:36:36Z	-
dc.date.issued	2018-01-15	en
dc.identifier.issn	0022-1236	en
dc.identifier.uri	http://researchrepository.mi.sanu.ac.rs/handle/123456789/600	-
dc.description.abstract	It is well known that the Hilbert matrix operator H is a bounded operator from the Bergman space Ap into Ap if and only if 2<p<∞. In [5] it was shown that the norm of the Hilbert matrix operator H on the Bergman space Ap is equal to [Formula presented], when 4≤p<∞, and it was also conjectured that ‖H‖Ap→Ap=[Formula presented], when 2<p<4. In this paper we prove this conjecture.	en
dc.publisher	Elsevier	-
dc.relation	Analysis and algebra with applications	-
dc.relation.ispartof	Journal of Functional Analysis	en
dc.subject	Bergman spaces \| Hilbert matrix	en
dc.title	Norm of the Hilbert matrix on Bergman spaces	en
dc.type	Article	en
dc.identifier.doi	10.1016/j.jfa.2017.08.005	en
dc.identifier.scopus	2-s2.0-85028300382	en
dc.relation.firstpage	525	en
dc.relation.lastpage	543	en
dc.relation.issue	2	en
dc.relation.volume	274	en
dc.description.rank	M21a	-
item.openairetype	Article	-
item.openairecristype	http://purl.org/coar/resource_type/c_18cf	-
item.fulltext	No Fulltext	-
item.grantfulltext	none	-
item.cerifentitytype	Publications	-

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