Fourier embeddings and Mihlin-type multiplier theorems

Journal article (2004)

Authors

TP Hytonen Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
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Published Date

2004

Language

Undefined/Unknown

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

Abstract

Recent theorems on singular convolution operators are combined with new Fourier embedding results to prove strong multiplier theorems on various function spaces (including Besov, Lebesgue-Bôchner, and Hardy). All the results apply to operator-valued multipliers acting on vector-valued functions, but some of them are new even in the scalar case. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)