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简介：Inthepresentpaper,wedealwithChlodowskytypegeneralizationoftheBaskakovoperators,specialcaseoftheseoperatorsincludesChlodowskytypeMeyer–KonigandZelleroperators(see[21]).WiththehelpofBohman-Korovkintheorem,weobtainsomeapproximationpropertiesfortheseoperators.Wegiveamodificationoftheoperatorsinthespaceofdifferentiablefunctionsandwealsopresentexamplesofgraphsforapproximation.Finally,weapplytheseoperatorstothesolutionofthedifferentialequation.

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简介：LetL=-△+VbeaSchrodingeroperatoronRn(n≥3),wherethenon-negativepotentialVbelongstoreverseHolderclassRHq1forq1>n/2.LetHLp(Rn)betheHardyspaceassociatedwithL.Inthispaper,weconsiderthecommutator[b,Tα],whichassociatedwiththeRiesztransformTα=Vα(-?+V)-αwith0<α≤1,andalocallyintegrablefunctionbbelongstothenewCampanatospaceΛβθ(ρ).Weestablishtheboundednessof[b,Tα]fromLp(Rn)toLq(Rn)for1

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