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DC Field | Value | Language |
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dc.contributor.author | Kucukaslan, A. | - |
dc.date.accessioned | 2022-05-17T12:48:03Z | |
dc.date.available | 2022-05-17T12:48:03Z | |
dc.date.issued | 2020 | - |
dc.identifier.issn | 2148-1830 | - |
dc.description.abstract | In 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.sponsorship | Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK, (Number-1059B191600675) | en_US |
dc.language.iso | en | en_US |
dc.publisher | Association of Mathematicians (MATDER) | en_US |
dc.relation.ispartof | Turkish Journal of Mathematics and Computer Science | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Generalized Fractional Maximal Operator | en_US |
dc.subject | Generalized Weighted Local Morrey Spaces | en_US |
dc.subject | Generalized Weighted Morrey Spaces | en_US |
dc.subject | Muckenhoupt-Weeden Classes | en_US |
dc.title | The Two-Type Estimates for The Boundedness of Generalized Fractional Maximal Operator on the Generalized Weighted Local Morrey Spaces | en_US |
dc.type | Article | en_US |
dc.identifier.volume | 12 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 56 - 65 | |
dc.identifier.startpage | 56 | en_US |
dc.identifier.endpage | 65 | en_US |
dc.department | Pamukkale University | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorscopusid | 56644670100 | - |
dc.identifier.scopus | 2-s2.0-85126695136 | - |
dc.identifier.trdizinid | 443068 | en_US |
dc.institutionauthor | Kucukaslan, A. | - |
dc.identifier.scopusquality | N/A | - |
dc.owner | Pamukkale University | - |
dc.identifier.wosquality | N/A | - |
item.languageiso639-1 | en | - |
item.openairetype | Article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
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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