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6 papers · 1 filter
A transference principle for general groups and functional calculus on UMD spaces
Markus Haase
We prove a transference principle for general (i.e., not necessarily bounded) strongly continuous groups on Banach spaces. If the Banach space has the UMD property, the transferenc…
Stochastic evolution equations in UMD Banach spaces
J. M. A. M. van Neerven, M. C. Veraar, L. Weis
We discuss existence, uniqueness, and space-time Hölder regularity for solutions of the parabolic stochastic evolution equation dU(t) = (AU(t) + F(t,U(t))) dt + B(t,U(t)) dW_H(t),…
Boundedness of Riesz transforms for elliptic operators on abstract Wiener spaces
Jan Maas, Jan van Neerven
Let (E,H,mu) be an abstract Wiener space and let D_V := VD, where D denotes the Malliavin derivative and V is a closed and densely defined operator from H into another Hilbert spac…
Malliavin calculus and decoupling inequalities in Banach spaces
Jan Maas
We develop a theory of Malliavin calculus for Banach space valued random variables. Using radonifying operators instead of symmetric tensor products we extend the Wiener-Ito isomet…
Compactness in vector-valued Banach function spaces
Jan van Neerven
We give a new proof of a recent characterization by Diaz and Mayoral of compactness in the Lebesgue-Bochner spaces , where is a Banach space and , and ext…
Conical square function estimates in UMD Banach spaces and applications to H-infinity functional calculi
Tuomas Hytonen, Jan van Neerven, Pierre Portal
We study conical square function estimates for Banach-valued functions, and introduce a vector-valued analogue of the Coifman-Meyer-Stein tent spaces. Following recent work of Ausc…