Weighted Estimates for Operator-Valued Fourier Multipliers
Classical Analysis and ODEs
2018-10-02 v1 Functional Analysis
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.
Cite
@article{arxiv.1810.00172,
title = {Weighted Estimates for Operator-Valued Fourier Multipliers},
author = {Stephan Fackler and Tuomas P. Hytönen and Nick Lindemulder},
journal= {arXiv preprint arXiv:1810.00172},
year = {2018}
}
Comments
31 pages