Two weighted inequalities for B-fractional integrals

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dc.contributor.authorEroglu, Ahmet
dc.contributor.authorHajibayov, Mubariz G.
dc.contributor.authorSerbetci, Ayhan
dc.date.accessioned2019-08-01T13:38:39Z
dc.date.available2019-08-01T13:38:39Z
dc.date.issued2016
dc.departmentNiğde ÖHÜ
dc.description.abstractIn this paper we prove a two weighted inequality for Riesz potentials I-alpha,I-gamma f (B-fractional integrals) associated with the Laplace-Bessel differential operator Delta(B)= Sigma(n)(i=1) partial derivative(2)/partial derivative x(i)(2) + Sigma(k)(j=1) gamma(j)/x(j) partial derivative/partial derivative xj. This result is an analog of Heinig's result (Indiana Univ. Math. J. 33(4):573-582, 1984) for the B-fractional integral. Further, the Stein-Weiss inequality for B-fractional integrals is proved as an application of this result.
dc.description.sponsorshipPresidium of Azerbaijan National Academy of Sciences
dc.description.sponsorshipThe authors would like to express their gratitude to the referees for their very valuable comments and suggestions. The research of second author was supported by the grant of Presidium of Azerbaijan National Academy of Sciences 2015.
dc.identifier.doi10.1186/s13660-016-1104-2
dc.identifier.issn1029-242X
dc.identifier.scopus2-s2.0-84983084825
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://dx.doi.org/10.1186/s13660-016-1104-2
dc.identifier.urihttps://hdl.handle.net/11480/3624
dc.identifier.wosWOS:000379686400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthor[0-Belirlenecek]
dc.language.isoen
dc.publisherSPRINGER INTERNATIONAL PUBLISHING AG
dc.relation.ispartofJOURNAL OF INEQUALITIES AND APPLICATIONS
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectLaplace-Bessel differential operator
dc.subjectB-fractional integrals
dc.subjectStein-Weiss inequality
dc.titleTwo weighted inequalities for B-fractional integrals
dc.typeArticle

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