Eroglu, AhmetDadashova, Irada B.2024-11-072024-11-0720181303-5991https://doi.org/10.1501/Commua1_0000000873https://search.trdizin.gov.tr/tr/yayin/detay/377189https://hdl.handle.net/11480/15718In 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.eninfo:eu-repo/semantics/openAccessCarleson curveMorrey spacepotential operatorSobolev-Morrey inequaltyArticle67218819410.1501/Commua1_0000000873377189WOS:000439232800018N/A