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Vector-valued multiplier theorems of Coifman–Rubio de Francia–Semmes type

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Abstract.

We improve the vector-valued Marcinkiewicz multiplier theorem in a subclass of UMD spaces (introduced by Berkson, Gillespie and Torrea), where Rubio de Francia’s generalized Littlewood–Paley inequality is valid.

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Authors and Affiliations

  1. Department of Mathematics, University of Turku, FI-20014, Turku, Finland

    T. P. Hytönen & D. Potapov

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  1. T. P. Hytönen
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  2. D. Potapov
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Correspondence to T. P. Hytönen.

Additional information

Received: 10 October 2005; revised: 7 December 2005

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Hytönen, T.P., Potapov, D. Vector-valued multiplier theorems of Coifman–Rubio de Francia–Semmes type. Arch. Math. 87, 245–254 (2006). https://doi.org/10.1007/s00013-006-1751-5

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  • DOI: https://doi.org/10.1007/s00013-006-1751-5

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