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A class of Hausdorff-Berezin operators on the unit disc

2019-11Journal article Restricted access
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dc.contributor.authorKarapetyants, Alexey
dc.contributor.authorSamko, Stefan
dc.contributor.authorZhu, Kehe
dc.date.accessioned2020-07-24T10:51:00Z
dc.date.available2020-07-24T10:51:00Z
dc.date.issued2019-11
dc.description.abstractWe introduce and study a class of Hausdorff-Berezin operators on the unit disc based on Haar measure (that is, the Mobius invariant area measure). We discuss certain algebraic properties of these operators and obtain boundedness conditions for them. We also reformulate the obtained results in terms of ordinary area measure.
dc.description.sponsorshipFulbright Research Scholarship program
dc.description.sponsorshipJ. William Fulbright Research Scholarship Program [PS00267032]
dc.description.sponsorshipRussian Foundation for Fundamental ResearchRussian Foundation for Basic Research (RFBR) [18-01-00094]
dc.description.sponsorshipNational Natural Science Foundation of ChinaNational Natural Science Foundation of China [11720101003]
dc.description.sponsorshipSTU Scientific Research Foundation for Talents [NTF17009]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1007/s11785-019-00934-x
dc.identifier.issn1661-8254
dc.identifier.urihttp://hdl.handle.net/10400.1/14184
dc.language.isoeng
dc.peerreviewedyes
dc.publisherSpringer
dc.subjectHardy-spaces
dc.subjectBoundedness
dc.subjectDomains
dc.subjectHausdorff operators
dc.subjectBerezin transform
dc.subjectBergman kernel
dc.subjectInvariant kernel
dc.subjectHaar measure
dc.subjectMobius group
dc.titleA class of Hausdorff-Berezin operators on the unit disc
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage3870
oaire.citation.issue8
oaire.citation.startPage3853
oaire.citation.titleComplex Analysis and Operator Theory
oaire.citation.volume13
person.familyNameSamko
person.givenNameStefan
person.identifier.orcid0000-0002-8022-2863
person.identifier.ridM-3726-2013
person.identifier.scopus-author-id6603416048
rcaap.rightsrestrictedAccess
rcaap.typearticle
relation.isAuthorOfPublication7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4
relation.isAuthorOfPublication.latestForDiscovery7c853bfc-1d1b-4bd0-9b94-1005fafbd6a4

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