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Bényi, A.* ; Grafakos, L.* ; Gröchenig, K. ; Okoudjou, K.*

A class of Fourier multipliers for modulation spaces.

Appl. Comput. Harmon. Anal. 19, 131-139 (2005)
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Open Access Green as soon as Postprint is submitted to ZB.
We prove the boundedness of a general class of Fourier multipliers, in particular of the Hilbert transform, on modulation spaces. In general, however, the Fourier multipliers in this class fail to be bounded on Lp spaces. The main tools are Gabor frames and methods from time–frequency analysis.
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Publication type Article: Journal article
Document type Scientific Article
Keywords fourier multipliers; Hilbert transform; Gabor frames; modulation spaces; short-time Fourier transform
Language english
Publication Year 2005
HGF-reported in Year 0
ISSN (print) / ISBN 1063-5203
e-ISSN 1096-603X
Journal Applied and Computational Harmonic Analysis
Quellenangaben Volume: 19, Issue: 1, Pages: 131-139 Article Number: , Supplement: ,
Publisher Academic Press
Publishing Place San Diego, Calif. [u.a.]
Reviewing status Peer reviewed
Institute(s) Institute of Biomathematics and Biometry (IBB)
PSP Element(s) FE 73822
DOI 10.1016/j.acha.2005.02.002
Erfassungsdatum 2005-08-24
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