Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces

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dc.contributor.authorGuliyev, Vagif
dc.contributor.authorArmutcu, Hatice
dc.contributor.authorAzeroglu, Tahir
dc.date.accessioned2025-10-29T11:12:16Z
dc.date.issued2020
dc.departmentGebze Teknik Üniversitesi
dc.description.abstractIn this paper, we give a boundedness criterion for the potential operator I-a in the local generalized Morrey space LMp,phi(t(0))(Gamma) and the generalized Morrey space M-p,M-phi(Gamma) defined on Carleson curves Gamma, respectively. For the operator I-a, we establish necessary and sufficient conditions for the strong and weak Spanne-type boundedness on LMp,phi(t(0))(Gamma) and the strong and weak Adams-type boundedness on M-p,M-phi(Gamma).
dc.description.sponsorshipTUBITAK RFBR (RUSSIAN FOUNDATION FOR BASIC RESEARCH) [2532, 119N455]
dc.description.sponsorshipAzerbaijan-Russia Joint Grant Competition [EIF-BGM-4-RFTF-1/2017-21/01/1-M-08]
dc.description.sponsorshipprogram TUBITAK-BIDEB 2211-A [1649B031800400]
dc.description.sponsorshipThe authors thank the referee(s) for carefully reading the paper and useful comments. The research of V. Guliyev was supported by cooperation Program 2532 TUBITAK RFBR (RUSSIAN FOUNDATION FOR BASIC RESEARCH) under grant no. 119N455 and by the Grant of 1st Azerbaijan-Russia Joint Grant Competition (Agreement Number no. EIF-BGM-4-RFTF-1/2017-21/01/1-M-08). The research of H. Armutcu was supported by program TUBITAK-BIDEB 2211-A (general domestic doctoral scholarship) under the application no. 1649B031800400.
dc.identifier.doi10.1515/math-2020-0102
dc.identifier.endpage1331
dc.identifier.issn2391-5455
dc.identifier.orcid0000-0003-2915-1489
dc.identifier.orcid0000-0001-7486-0298
dc.identifier.orcid0000-0002-8246-3142
dc.identifier.scopus2-s2.0-85097896454
dc.identifier.scopusqualityQ1
dc.identifier.startpage1317
dc.identifier.urihttps://doi.org/10.1515/math-2020-0102
dc.identifier.urihttps://hdl.handle.net/20.500.14854/6207
dc.identifier.volume18
dc.identifier.wosWOS:000598180400001
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherDe Gruyter Poland Sp Z O O
dc.relation.ispartofOpen Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WOS_20251020
dc.subjectCarleson curve
dc.subjectlocal generalized Morrey space
dc.subjectpotential operator
dc.subjectAdams-type inequalities
dc.titleCharacterizations for the potential operators on Carleson curves in local generalized Morrey spaces
dc.typeArticle

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