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Some Remarks on the Mikhlin–Hörmander and Marcinkiewicz Multiplier Theorems: A Short Historical Account and a Recent Improvement

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Abstract

We present a short historical overview of the Mikhlin–Hörmander and Marcinkiewicz multiplier theorems. We discuss different versions of them and provide comparisons. We also present a recent improvement of the Marcinkiewicz multiplier theorem in the two-dimensional case.

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Authors and Affiliations

  1. Department of Mathematics, University of Missouri, Columbia, MO, 65211, USA

    Loukas Grafakos

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  1. Loukas Grafakos
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Correspondence to Loukas Grafakos.

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In memory of Elias M. Stein.

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Grafakos, L. Some Remarks on the Mikhlin–Hörmander and Marcinkiewicz Multiplier Theorems: A Short Historical Account and a Recent Improvement. J Geom Anal 31, 6987–7007 (2021). https://doi.org/10.1007/s12220-020-00588-8

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  • DOI: https://doi.org/10.1007/s12220-020-00588-8

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