POTENTIAL OPERATORS ON CARLESON CURVES IN MORREY SPACES

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dc.contributor.authorEroglu, Ahmet
dc.contributor.authorDadashova, Irada B.
dc.date.accessioned2024-11-07T13:32:58Z
dc.date.available2024-11-07T13:32:58Z
dc.date.issued2018
dc.departmentNiğde Ömer Halisdemir Üniversitesi
dc.description.abstractIn this paper we study the potential operator I-alpha in the Morrey space L-p,L-lambda and the spaces BMO de.ned on Carleson curves Gamma. We prove that for 0 < alpha < 1, I-alpha is bounded from the Morrey space L-p,L-lambda( Gamma) to L-q,L-lambda(Gamma) on simple Carleson curves if (and only if in the infinite simple Carleson curve 1/p - 1/q = alpha/(1 - lambda), 1 < p < (1 - lambda)/alpha, and from the spaces L-1,L-lambda(Gamma) to WLq,lambda(Gamma) (and only if in the in.nite case) 1 - 1/q = alpha/1-lambda.
dc.identifier.doi10.1501/Commua1_0000000873
dc.identifier.endpage194
dc.identifier.issn1303-5991
dc.identifier.issue2
dc.identifier.startpage188
dc.identifier.trdizinid377189
dc.identifier.urihttps://doi.org/10.1501/Commua1_0000000873
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/377189
dc.identifier.urihttps://hdl.handle.net/11480/15718
dc.identifier.volume67
dc.identifier.wosWOS:000439232800018
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAnkara Univ, Fac Sci
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241106
dc.subjectCarleson curve
dc.subjectMorrey space
dc.subjectpotential operator
dc.subjectSobolev-Morrey inequalty
dc.titlePOTENTIAL OPERATORS ON CARLESON CURVES IN MORREY SPACES
dc.typeArticle

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