Please use this identifier to cite or link to this item:
https://research.matf.bg.ac.rs/handle/123456789/2248
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Karapetrović, Boban | en_US |
dc.date.accessioned | 2025-07-18T15:10:37Z | - |
dc.date.available | 2025-07-18T15:10:37Z | - |
dc.date.issued | 2018-09-01 | - |
dc.identifier.issn | 00170895 | - |
dc.identifier.uri | https://research.matf.bg.ac.rs/handle/123456789/2248 | - |
dc.description.abstract | We find the lower bound for the norm of the Hilbert matrix operator H on the weighted Bergman space A<sup>p,α</sup> ||H||A<sup>p,α</sup>→ A<sup>p,α</sup>≥ π/sin(α+2)π/p for lt;α+2 < p. We show that if 4 ≤ 2(α + 2) ≤ p, then ||H||A<sup>p,α</sup> → A<sup>p,α</sup> = , while if 2 ≤ α +2 < p < 2(α+2), upper bound for the norm ||H||A<sup>p,α</sup> → A<sup>p,α</sup>, better then known, is obtained. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Cambridge Core | en_US |
dc.relation.ispartof | Glasgow Mathematical Journal | en_US |
dc.title | Norm of the Hilbert matrix operator on the weighted Bergman spaces | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1017/S0017089517000258 | - |
dc.identifier.scopus | 2-s2.0-85032182258 | - |
dc.identifier.isi | 000439431400001 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85032182258 | - |
dc.contributor.affiliation | Real and Complex Analysis | en_US |
dc.relation.issn | 0017-0895 | en_US |
dc.description.rank | M22 | en_US |
dc.relation.firstpage | 513 | en_US |
dc.relation.lastpage | 525 | en_US |
dc.relation.volume | 60 | en_US |
dc.relation.issue | 3 | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
item.fulltext | No Fulltext | - |
item.grantfulltext | none | - |
crisitem.author.dept | Real and Complex Analysis | - |
crisitem.author.orcid | 0000-0001-5296-8070 | - |
Appears in Collections: | Research outputs |
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