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arXiv · 1810.00172

Weighted Estimates for Operator-Valued Fourier Multipliers

Stephan Fackler·Tuomas P. Hytönen·Nick Lindemulder
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Abstract

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 H\"ormander type conditions.

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BibTeXRIS

Stephan Fackler, Tuomas P. Hytönen, Nick Lindemulder. 2018-09-29. Weighted Estimates for Operator-Valued Fourier Multipliers. https://arxiv.org/abs/1810.00172

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