Vector-valued multiplier theorems of Coifman–Rubio de Francia–Semmes type |
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| Authors: | T P Hytönen D Potapov |
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| Institution: | (1) Department of Mathematics, University of Turku, FI-20014 Turku, Finland;(2) School of Informatics and Engineering, Flinders University of South Australia, Bedford Park, 5042, SA, Australia |
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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.
Received: 10 October 2005; revised: 7 December 2005 |
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| Keywords: | 42A45 |
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