Weighted estimates for operator-valued Fourier multipliers

  title={Weighted estimates for operator-valued Fourier multipliers},
  author={Stephan Fackler and Tuomas Hyt{\"o}nen and Nick Lindemulder},
  journal={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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