Riesz Transforms Associated with Schrdinger Operators Acting on Weighted Hardy Spaces

LetL=-?+VbeaSchrdingeroperatoractingonL2(Rn),n≥1,whereV≡0isanonnegativelocallyintegrablefunctiononRn.Inthisarticle,wewillintropduceweightedHardyspacesHL(w)associatedwithLbymeansofthesquarefunctionandthenstudytheiratomicdecompositiontheory.WewillalsoshowthattheRiesztransform?L-1/2associatedwithLisboundedfromournewspaceHpL(w)totheclassicalweightedHardyspaceHp(w)whenn/(n+1)

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