P. Jones'Interpolation theorem for noncommutative martingale Hardy spaces

2022/12/16 by Randrianantoanina, Narcisse
#46B70 #46L53 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2212.08714

Abstract

Let M be a semifinite von Nemann algebra equipped with an increasing filtration (M_n)_{n≥ 1} of (semifinite) von Neumann subalgebras of \M. For 00, (\h_Φ^c(M), \h_∞^c(M))_{θ, r}=\h_{Φ0, r}^c(M) where \h_Φ0,r^c(M) is the noncommutative column Hardy space associated with the Orlicz-Lorentz space L_Φ0,r.

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