Compactness of the commutator of bilinear Fourier multiplier operator

DOI10.11650/TJM.18.2014.3676zbMath1357.42005OpenAlexW1982711480MaRDI QIDQ514693

Guo'en Hu

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3676

zbMATH Keywords

compact operatorcommutatorbilinear Fourier multiplierCMO\((\mathbb{R}^n)\)

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Multipliers for harmonic analysis in several variables (42B15)

Related Items (16)

Weighted compact commutator of bilinear Fourier multiplier operator ⋮ Compactness of Riesz transform commutator associated with Bessel operators ⋮ Extrapolation for multilinear compact operators and applications ⋮ Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ On compactness results of Lions-Peetre type for bilinear operators ⋮ Boundedness and compactness characterizations of Riesz transform commutators on Morrey spaces in the Bessel setting ⋮ Closed surjective ideals of multilinear operators and interpolation ⋮ Weighted Fréchet-Kolmogorov theorem and compactness of vector-valued multilinear operators ⋮ Compactness for the commutator of the multilinear Fourier multiplier on the Morrey space ⋮ A compactness result of Janson type for bilinear operators ⋮ Compactness of the commutator of multilinear Fourier multiplier operator on weighted Lebesgue space ⋮ Real interpolation of compact bilinear operators ⋮ XMO and weighted compact bilinear commutators ⋮ Extrapolation of compactness on weighted spaces: bilinear operators ⋮ On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO

Cites Work

• Composition of maximal operators
• A Hörmander type multiplier theorem for multilinear operators
• On the compactness of operators of Hankel type
• Multilinear estimates and fractional integration
• Weighted norm inequalities for multilinear operators and applications to multilinear Fourier multipliers
• Minimal smoothness conditions for bilinear Fourier multipliers
• Compact bilinear operators and commutators
• Estimates for the commutator of bilinear Fourier multiplier
• Weighted norm inequalities for multilinear singular integral operators and applications

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