Fourier multipliers of classical modulation spaces
نویسندگان
چکیده
منابع مشابه
A Class of Fourier Multipliers for Modulation Spaces
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 L spaces. The main tools are Gabor frames and methods from time-frequency analysis.
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Let 1 < p, q < ∞ and s, r ∈ R. It is proved that any function in the amalgam space W (H p′(R ), l∞), where p ′ is the conjugate exponent to p and H p′(R ) is the Bessel potential space, defines a bounded pointwise multiplication operator in the modulation space M p,q(R ), whenever r > |s|+ d.
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2006
ISSN: 1063-5203
DOI: 10.1016/j.acha.2006.04.010