Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/45405
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dc.contributor.authorKucukaslan, A.-
dc.date.accessioned2022-05-17T12:48:03Z
dc.date.available2022-05-17T12:48:03Z
dc.date.issued2020-
dc.identifier.issn2148-1830-
dc.description.abstractIn this paper, we study two-type estimates which are the Spanne and Adams type estimates for the continuity properties of the generalized fractional maximal operator Mρ on the generalized weighted local Morrey spaces M{x0}p,ϕ (wp) and generalized weighted Morrey spaces M p,ϕ1/p (w), including weak estimates. We prove the Spanne type boundedness of the generalized fractional maximal operator Mρ from generalized weighted local Morrey spaces M{x0}p,ϕ1 (wp) to the weighted weak space WM{x0}q,ϕ2 (wq) for 1 ≤ p < q < ∞ and from M{x0}p,ϕ1 (wp) to another space M{x0}q,ϕ2 (wq) for 1 < p < q < ∞ with wq ∈ A q.We also prove the Adams type boundedness of Mρ from Mp,ϕ1/p(w) to the weighted weak space WMq,ϕ1/q (w)for 1 ≤ p < q < ∞ and from Mp,ϕ1/p (w) to Mq,ϕ1/q (w) for 1 < p < q < ∞ with w ∈ Ap,q. The all weight functions belong to Muckenhoupt-Weeden class Ap,q. In all cases the conditions for the boundedness of the operator Mρ are given in terms of supremal-type integral inequalities on the all ϕ functions and r which do not assume any assumption on monotonicity of ϕ1 (x, r), ϕ2 (x, r) and ϕ(x, r) in r. © MatDer.en_US
dc.description.sponsorshipTürkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK, (Number-1059B191600675)en_US
dc.language.isoenen_US
dc.publisherAssociation of Mathematicians (MATDER)en_US
dc.relation.ispartofTurkish Journal of Mathematics and Computer Scienceen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized Fractional Maximal Operatoren_US
dc.subjectGeneralized Weighted Local Morrey Spacesen_US
dc.subjectGeneralized Weighted Morrey Spacesen_US
dc.subjectMuckenhoupt-Weeden Classesen_US
dc.titleThe Two-Type Estimates for The Boundedness of Generalized Fractional Maximal Operator on the Generalized Weighted Local Morrey Spacesen_US
dc.typeArticleen_US
dc.identifier.volume12en_US
dc.identifier.issue1en_US
dc.identifier.startpage56 - 65
dc.identifier.startpage56en_US
dc.identifier.endpage65en_US
dc.departmentPamukkale Universityen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.authorscopusid56644670100-
dc.identifier.scopus2-s2.0-85126695136-
dc.identifier.trdizinid443068en_US
dc.institutionauthorKucukaslan, A.-
dc.identifier.scopusqualityN/A-
dc.ownerPamukkale University-
dc.identifier.wosqualityN/A-
item.languageiso639-1en-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.fulltextWith Fulltext-
item.grantfulltextopen-
item.cerifentitytypePublications-
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar Koleksiyonu / TR Dizin Indexed Publications Collection
Uygulamalı Bilimler Yüksekokulu Koleksiyonu
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