Published by De Gruyter September 12, 2011

The Hörmander multiplier theorem for multilinear operators

Loukas Grafakos and Zengyan Si

From the journal Journal für die reine und angewandte Mathematik (Crelles Journal)

https://doi.org/10.1515/CRELLE.2011.137

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Abstract

In this paper, we provide a version of the Mikhlin–Hörmander multiplier theorem for multilinear operators in the case where the target space is L^p for p ≦ 1. This extends a recent result of Tomita [15] who proved an analogous result for p > 1.

Received: 2010-07-09

Published Online: 2011-09-12

Published in Print: 2012-07

The Hörmander multiplier theorem for multilinear operators

Abstract

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