Weighted norms inequalities for a maximal operator in some subspace of amalgams

dc.creatorFeuto, Justin
dc.creatorFofana, Ibrahim
dc.creatorKoua, Konin
dc.date2009-01-27
dc.date.accessioned2026-07-07T12:34:50Z
dc.date.available2026-07-07T12:34:50Z
dc.descriptionWe give weighted norm inequalities for the maximal fractional operator $ \mathcal M_{q,β}$ of Hardy-Littlewood and the fractional integral $I_γ$. These inequalities are established between $(L^{q},L^{p}) ^α(X,d,μ)$ spaces (which are super spaces of Lebesgue spaces $L^α(X,d,μ)$, and subspaces of amalgams $(L^{q},L^{p})(X,d,μ)$) and in the setting of space of homogeneous type $(X,d,μ)$. The conditions on the weights are stated in terms of Orlicz norm.
dc.description17 pages, accepted for publication
dc.identifierhttps://arxiv.org/abs/0901.4197
dc.identifierhttp://arxiv.org/abs/0901.4197
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217578
dc.subjectClassical Analysis and ODEs
dc.titleWeighted norms inequalities for a maximal operator in some subspace of amalgams
dc.typetext

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