Weighted norm inequalities for multilinear Fourier multipliers
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Publication:2844841
DOI10.1090/S0002-9947-2012-05700-XzbMath1275.42015MaRDI QIDQ2844841
Publication date: 20 August 2013
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)
Related Items (42)
Weighted compact commutator of bilinear Fourier multiplier operator ⋮ Estimates for the commutator of bilinear Fourier multiplier ⋮ Extrapolation for multilinear compact operators and applications ⋮ Weighted estimates for bilinear Fourier multiplier operators with multiple weights ⋮ Commutators for multilinear singular integrals on weighted Morrey spaces ⋮ Multilinear Fourier multipliers on variable Lebesgue spaces ⋮ Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols ⋮ Weighted norm inequalities for multilinear Fourier multipliers with mixed norm ⋮ Multilinear multiplier theorems and applications ⋮ Weighted norm inequalities for multilinear Fourier multipliers with critical Besov regularity ⋮ Limited range extrapolation with quantitative bounds and applications ⋮ ON THE BILINEAR SQUARE FOURIER MULTIPLIER OPERATORS ASSOCIATED WITH FUNCTION ⋮ On the bilinear square Fourier multiplier operators and related multilinear square functions ⋮ On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function ⋮ Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions ⋮ Minimal smoothness conditions for bilinear Fourier multipliers ⋮ Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness ⋮ Weighted Morrey estimates for multilinear Fourier multiplier operators ⋮ Boundedness criterion for bilinear Fourier multiplier operators ⋮ Weighted norm inequalities for bilinear flag Fourier multipliers ⋮ Compactness for the commutator of the multilinear Fourier multiplier on the Morrey space ⋮ Compactness of the commutator of multilinear Fourier multiplier operator on weighted Lebesgue space ⋮ Weighted norm inequalities for multilinear singular integral operators and applications ⋮ On multilinear Littlewood-Paley operators ⋮ A counterexample to weighted estimates for multilinear Fourier multipliers with Sobolev regularity ⋮ Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces ⋮ \(L^2\times L^2 \rightarrow L^1\) boundedness criteria ⋮ Weighted Leibniz-type rules for bilinear flag multipliers ⋮ Maximal operators associated with bilinear multipliers of limited decay ⋮ Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications ⋮ Multilinear multipliers and singular integrals with smooth kernels on Hardy spaces ⋮ Leibniz-type rules for bilinear Fourier multiplier operators with Besov regularity ⋮ On the failure of multilinear multiplier theorem with endpoint smoothness conditions ⋮ Some weighted estimates for multilinear Fourier multiplier operators ⋮ A spectral multiplier theorem for Hardy spaces associated with Schrödinger operator on the Heisenberg group ⋮ Extrapolation of compactness on weighted spaces: bilinear operators ⋮ The Hörmander multiplier theorem. III: The complete bilinear case via interpolation ⋮ \(L^p\)-boundedness and \(L^p\)-nuclearity of multilinear pseudo-differential operators on \(\mathbb{Z}^n\) and the torus \(\mathbb{T}^n\) ⋮ Characterization of multilinear multipliers in terms of Sobolev space regularity ⋮ Equivalence of (quasi-)norms on a vector-valued function space and its applications to multilinear operators ⋮ The lattice bump multiplier problem ⋮ The multilinear Hörmander multiplier theorem with a Lorentz-Sobolev condition
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