# 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}
}
• Published 29 September 2018
• Mathematics
• Collectanea Mathematica
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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