Two weighted inequalities for fractional integrals on Laguerre hypergroup

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dc.contributor.authorEroglu, A.
dc.contributor.authorHajibayov, M. G.
dc.date.accessioned2024-11-07T13:34:50Z
dc.date.available2024-11-07T13:34:50Z
dc.date.issued2017
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractLet K = [0,infinity) x R be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group, vertical bar.vertical bar its homogeneous norm and Q its homogeneous dimension. In this paper we prove the two weighted inequality for fractional integrals I-beta on K. The obtained result is an analog of the Heinig result [Heinig HP. Weighted norm inequalities for classes of operators. Indiana Univ Math J. 1984;33(4):573-582] for fractional integrals on Laguerre hypergroup. Furthermore, the Stein-Weiss inequality for I-beta is proved as an application of this result.
dc.description.sponsorshipPresidium of Azerbaijan National Academy of Sciences
dc.description.sponsorshipThe research of the second author was supported by the grant of Presidium of Azerbaijan National Academy of Sciences 2015.
dc.identifier.doi10.1080/10652469.2016.1261339
dc.identifier.endpage194
dc.identifier.issn1065-2469
dc.identifier.issn1476-8291
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85000578280
dc.identifier.scopusqualityQ2
dc.identifier.startpage185
dc.identifier.urihttps://doi.org/10.1080/10652469.2016.1261339
dc.identifier.urihttps://hdl.handle.net/11480/16191
dc.identifier.volume28
dc.identifier.wosWOS:000395159500003
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofIntegral Transforms and Special Functions
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241106
dc.subjectLaguerre hypergroup
dc.subjectfractional integral
dc.subjectStein-Weiss inequality
dc.titleTwo weighted inequalities for fractional integrals on Laguerre hypergroup
dc.typeArticle

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