Operator-valued multilinear Calderón-Zygmund operators are decomposed into dyadic shifts and paraproducts, yielding a bilinear T(1) theorem on UMD spaces and a conditional theory for higher multilinearity.
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Multilinear operator-valued Calder\'on-Zygmund theory
Operator-valued multilinear Calderón-Zygmund operators are decomposed into dyadic shifts and paraproducts, yielding a bilinear T(1) theorem on UMD spaces and a conditional theory for higher multilinearity.