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On singular operators in vanishing generalized variable-exponent Morrey spaces and applications to Bergman-type spaces

2019-11Journal article Restricted access
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dc.contributor.authorKarapetyants, A. N.
dc.contributor.authorRafeiro, H.
dc.contributor.authorG. Samko, Stefan
dc.date.accessioned2020-07-24T10:50:59Z
dc.date.available2020-07-24T10:50:59Z
dc.date.issued2019-11
dc.description.abstractWe give a proof of the boundedness of the Bergman projection in generalized variable-exponent vanishing Morrey spaces over the unit disc and the upper half-plane. To this end, we prove the boundedness of the Calderon-Zygmund operators on generalized variable-exponent vanishing Morrey spaces. We give the proof of the latter in the general context of real functions on R-n, since it is new in such a setting and is of independent interest. We also study the approximation by mollified dilations and estimate the growth of functions near the boundary.
dc.description.sponsorshipRussian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR) [18-01-00094, 18-51-05009 Arm-a, 19-01-00223]
dc.description.sponsorshipVisiting Fulbright Scholar Program
dc.description.sponsorshipUnited Arab Emirates University, Al Ain, United Arab Emirates [G00002994]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1134/S0001434619110075
dc.identifier.issn0001-4346
dc.identifier.urihttp://hdl.handle.net/10400.1/14183
dc.language.isoeng
dc.peerreviewedyes
dc.publisherMaik Nauka/Interperiodica/Springer
dc.subjectBoundedness
dc.subjectLebesgue
dc.subjectSingular operator
dc.subjectMorrey space
dc.subjectBergman-type space
dc.subjectCalderon-Zygmund operator
dc.titleOn singular operators in vanishing generalized variable-exponent Morrey spaces and applications to Bergman-type spaces
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage739
oaire.citation.issue05-jun
oaire.citation.startPage727
oaire.citation.titleMathematical Notes
oaire.citation.volume106
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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