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Original Paper
Fourier embeddings and Mihlin-type multiplier theorems
Article first published online: 9 SEP 2004
DOI: 10.1002/mana.200310203
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
1522-2616/asset/cover.gif?v=1&s=0110fef2c1f789362b0c8808bc8248840b71170f "Mathematische Nachrichten")
Additional Information
How to Cite
Hytönen, T. (2004), Fourier embeddings and Mihlin-type multiplier theorems. Mathematische Nachrichten, 274-275: 74–103. doi: 10.1002/mana.200310203
Publication History
- Issue published online: 9 SEP 2004
- Article first published online: 9 SEP 2004
- Manuscript Accepted: 6 JAN 2004
- Manuscript Received: 18 MAR 2003
- Abstract
- References
- Cited By
Keywords:
- Fourier multiplier;
- Fourier embedding
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)