# Weighted estimates for operator-valued Fourier multipliers

@article{Fackler2018WeightedEF, title={Weighted estimates for operator-valued Fourier multipliers}, author={Stephan Fackler and Tuomas Hyt{\"o}nen and Nick Lindemulder}, journal={Collectanea Mathematica}, year={2018}, volume={71}, pages={511-548} }

We establish Littlewood–Paley decompositions for Muckenhoupt weights in the setting of UMD spaces. As a consequence we obtain two-weight variants of the Mikhlin multiplier theorem for operator-valued multipliers. We also show two-weight estimates for multipliers satisfying Hörmander type conditions.

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