Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500288 | Applied and Computational Harmonic Analysis | 2005 | 9 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Árpád Bényi, Loukas Grafakos, Karlheinz Gröchenig, Kasso Okoudjou,