Minimal smoothness conditions for bilinear Fourier multipliers
Copyright policy )Minimal smoothness conditions for bilinear Fourier multipliers
The problem of finding the differentiability conditions for bilinear Fourier multipliers that are as small as possible to ensure the boundedness of the corresponding operators from products of Hardy spaces H^{p_1}\times H^{p_2} to L^p , 1/p_1 +1/p_2 =1/p , is considered. The minimal conditions in terms of the product type Sobolev norms are given for the whole range 0 < p_1, p_2 \leq \infty .
- Osaka University Japan
- Tokyo Woman's Christian University Japan
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Hardy space, Hörmander multiplier theorem, Multipliers for harmonic analysis in several variables, \(H^p\)-spaces, bilinear Fourier multiplier
Singular and oscillatory integrals (Calderón-Zygmund, etc.), Hardy space, Hörmander multiplier theorem, Multipliers for harmonic analysis in several variables, \(H^p\)-spaces, bilinear Fourier multiplier
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