Commutateurs d'intégrales singulières et opérateurs multilinéaires
From MaRDI portal
Publication:1243091
DOI10.5802/aif.708zbMath0368.47031OpenAlexW2036891674MaRDI QIDQ1243091
Publication date: 1978
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1978__28_3_177_0
Commutators, derivations, elementary operators, etc. (47B47) Integral, integro-differential, and pseudodifferential operators (47Gxx)
Related Items
MULTILINEAR CALDERÓN-ZYGMUND OPERATORS AND THEIR COMMUTATORS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT ⋮ A NOTE ON MULTILINEAR PSEUDO-DIFFERENTIAL OPERATORS AND ITERATED COMMUTATORS ⋮ Initial 𝐿²×⋯×𝐿² bounds for multilinear operators ⋮ Commutator estimates ⋮ Density theorems for anisotropic point configurations ⋮ ON THE GLOBAL EXISTENCE OF ROUGH SOLUTIONS OF THE CUBIC DEFOCUSING SCHRÖDINGER EQUATION IN R2 + 1 ⋮ Scattering for the cubic Schrödinger equation in 3D with randomized radial initial data ⋮ The Hörmander multiplier theorem for multilinear operators ⋮ Bilinear interpolation theorems and applications ⋮ ON ASYMPTOTIC STABILITY OF GROUND STATES OF NLS ⋮ Modulation invariant bilinear \(T(1)\) theorem ⋮ Uniform estimates for paraproducts and related multilinear multipliers ⋮ Analyse non linéaire de l'opérateur défini par l'intégrale de Cauchy ⋮ Geometric Optics for Rayleigh Wavetrains in d-Dimensional ⋮ Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains ⋮ New weighted norm inequalities for multilinear singular integral operators with generalized kernels and their commutators ⋮ Paradifferential operators and commutator estimates ⋮ A new vanishing Lipschitz-type subspace of BMO and compactness of bilinear commutators ⋮ Multilinear oscillatory integrals and estimates for coupled systems of dispersive PDEs ⋮ Multiple weighted norm inequalities for multilinear strongly singular integral operators with generalized kernels ⋮ Boundedness of bilinear pseudo‐differential operators with BS0,0m$BS^{m}_{0,0}$ symbols on Sobolev spaces ⋮ Multilinear commutators of multilinear strongly singular integral operators with generalized kernels ⋮ On the boundedness of multilinear Fourier multipliers on Hardy spaces ⋮ Discrete bilinear operators and commutators ⋮ Unnamed Item ⋮ Sharp function estimates for bilinear pseudo-differential operators ⋮ Théorèmes de commutateurs avec régularité minimale ⋮ On multilinear distorted multiplier estimate and its applications ⋮ Characterization of Lipschitz functions via commutators of multilinear singular integral operators in variable Lebesgue spaces ⋮ Hardy factorization in terms of multilinear Calderón-Zygmund operators using Morrey spaces ⋮ Endpoint Sobolev regularity of multilinear maximal operators ⋮ Some estimates of multi-sublinear operators and commutators on mixed \(\lambda\)-central Morrey spaces ⋮ Rough bilinear hypersingular integrals ⋮ Weighted norm inequalities for multilinear strongly singular Calderón–Zygmund operators on RD‐spaces ⋮ Boundedness of multilinear pseudo-differential operators with \(S_{0,0}\) class symbols on Besov spaces ⋮ ON THE BILINEAR SQUARE FOURIER MULTIPLIER OPERATORS ASSOCIATED WITH FUNCTION ⋮ Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type on generalized weighted Morrey spaces and applications ⋮ Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators ⋮ NONCLASSICAL SPECTRAL ASYMPTOTICS AND DIXMIER TRACES: FROM CIRCLES TO CONTACT MANIFOLDS ⋮ Weighted estimates for commutators of vector-valued maximal multilinear operators ⋮ On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function ⋮ Sobolev norm estimates for a class of bilinear multipliers ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Global Well-Posedness and Polynomial Bounds for the DefocusingL2-Critical Nonlinear Schrödinger Equation in ℝ ⋮ Unnamed Item ⋮ Multilinear Calderón-Zygmund operators with kernels of Dini's type and applications ⋮ Endpoint estimates for commutators of mutilinear square function satisfying some integrable condition ⋮ Transference on certain multilinear multiplier operators ⋮ The Initial-Value Problem for the Cubic-Quintic NLS with Nonvanishing Boundary Conditions ⋮ Multi-linear operators given by singular multipliers ⋮ An inverse problem for the dynamical Lamé system with two sets of boundary data ⋮ Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces ⋮ On the Hörmander classes of bilinear pseudodifferential operators ⋮ Bilinear Calderón-Zygmund operators on Sobolev, BMO and Lipschitz spaces ⋮ On the \(L^2\)-boundedness of pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces ⋮ Symbolic Calculus and the Transposes of Bilinear Pseudodifferential Operators ⋮ Minimal regularity conditions for the end-point estimate of bilinear Calderón-Zygmund operators ⋮ Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications ⋮ Real Variable Methods in Harmonic Analysis and Navier–Stokes Equations ⋮ Multilinear multipliers and singular integrals with smooth kernels on Hardy spaces ⋮ Tensor products and correlation estimates with applications to nonlinear Schrödinger equations ⋮ Long Time Stability for Solutions of a β‐Plane Equation ⋮ Bilinear Fourier multiplier operators on variable Triebel spaces ⋮ SCATTERING THEORY FOR THE GROSS–PITAEVSKII EQUATION IN THREE DIMENSIONS ⋮ Global existence and scattering for rough solutions of a nonlinear Schrödinger equation on ℝ3 ⋮ Continuity property for the commutators of multilinear Calderón–Zygmund operators ⋮ Scattering theory below energy for the cubic fourth-order Schrödinger equation ⋮ The lattice bump multiplier problem ⋮ Boundedness and applications of singular integrals and square functions: a survey ⋮ The Kato-Ponce Inequality ⋮ On the interpolation with the potential bound for global solutions of the defocusing cubic wave equation on \(\mathbb{T}^2\) ⋮ Multilinear interpolation between adjoint operators ⋮ Multilinear square functions with kernels of Dini's type ⋮ Well-posedness for a quadratic derivative nonlinear Schrödinger system at the critical regularity ⋮ On the \(L^p\) norm of spectral clusters for compact manifolds with boundary ⋮ Asymptotic behaviour of the QED perturbation series ⋮ Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces ⋮ The commutators of multilinear maximal and fractional-type operators on central Morrey spaces with variable exponent ⋮ Rough blowup solutions to the \(L^2\) critical NLS ⋮ Multilinear strongly singular integral operators with generalized kernels and applications ⋮ Variation operators for singular integrals and their commutators on weighted Morrey spaces and Sobolev spaces ⋮ Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers ⋮ Global existence for semilinear Schrödinger equations in \(2+1\) dimensions ⋮ Interpolation of bilinear operators between quasi-Banach spaces ⋮ Commutators of bilinear pseudodifferential operators and Lipschitz functions ⋮ Boundedness of multilinear Littlewood-Paley operators on Amalgam-Campanato spaces ⋮ Endpoint estimates for the commutators of multilinear Calderón-Zygmund operators with Dini type kernels ⋮ Boundedness of bilinear pseudo-differential operators of \(S_{0,0}\)-type in Wiener amalgam spaces and in Lebesgue spaces ⋮ Bilinear spectral multipliers on Heisenberg groups ⋮ Endpoint Sobolev boundedness and continuity of multilinear fractional maximal functions ⋮ Bilinear integral operators with certain hypersingularities ⋮ The Hörmander multiplier theorem. II: The bilinear local \(L^2\) case ⋮ The boundedness of multilinear Calderón-Zygmund operators on Hardy spaces ⋮ Bilinear square spectral multipliers on stratified groups ⋮ Uniform bounds for the bilinear Hilbert transforms. II ⋮ Fiber-wise Calderón-Zygmund decomposition and application to a bi-dimensional paraproduct ⋮ Bilinear Fourier integral operators ⋮ Multilinear singular integral operators with generalized kernels and their multilinear commutators ⋮ Failure of the Hörmander kernel condition for multilinear Calderón-Zygmund operators ⋮ Linear and bilinear multiplier operators for the Dunkl transform ⋮ Multilinear multiplier theorems and applications ⋮ Dirichlet-to-Neumann and elliptic operators on \(C^{1+\{\kappa}\)-domains: Poisson and Gaussian bounds ⋮ Boundedness of paraproduct operators on RD-spaces ⋮ Rough bilinear singular integrals ⋮ Method of rotations for bilinear singular integrals ⋮ \(\lambda \)-central BMO estimates for multilinear commutators of fractional integrals ⋮ Bilinear pseudodifferential operators with forbidden symbols on Lipschitz and Besov spaces. ⋮ The multilinear strong maximal function ⋮ On global solution to the Klein-Gordon-Hartree equation below energy space ⋮ A fast numerical method for evaluation of Calderón commutators ⋮ On the bilinear square Fourier multiplier operators and related multilinear square functions ⋮ Uniform estimates on multi-linear operators with modulation symmetry. ⋮ Bilinear oscillatory integrals and boundedness for new bilinear multipliers ⋮ A multilinearization of Littlewood-Paley's g-function and Carleson measures ⋮ On multilinear square function and its applications to multilinear Littlewood-Paley operators with non-convolution type kernels ⋮ Parametrized multilinear Littlewood-Paley operators on Hardy spaces ⋮ Analysis of the heat kernel of the Dirichlet-to-Neumann operator ⋮ Extrapolation of weighted norm inequalities for multivariable operators and applications ⋮ On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential ⋮ Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions ⋮ The sharp weighted bound for multilinear maximal functions and Calderón-Zygmund operators ⋮ Orthogonality principle for bilinear Littlewood-Paley decompositions ⋮ Multilinear Calderón-Zygmund operators on Hardy spaces. II ⋮ Commutators of multi-sublinear maximal functions with Lipschitz functions ⋮ Existence and boundedness of multilinear Littlewood-Paley operators on Campanato spaces ⋮ The Hörmander multiplier theorem for \(n\)-linear operators ⋮ Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications ⋮ On a Calderón-Zygmund commutator-type estimate ⋮ On Gevrey regularity of the supercritical SQG equation in critical Besov spaces ⋮ Bilinear spherical maximal functions of product type ⋮ Multilinear theory of strongly singular Calderón-Zygmund operators and applications ⋮ On general multilinear square function with non-smooth kernels ⋮ On the multilinear singular integrals and commutators in the weighted amalgam spaces ⋮ Multilinear Fourier multipliers related to time-frequency localization ⋮ On multilinear Littlewood-Paley operators ⋮ Global smooth ion dynamics in the Euler-Poisson system ⋮ An extension of Hörmander's hypoellipticity theorem ⋮ Continuity properties for commutators of multilinear type operators on product of certain Hardy spaces ⋮ Commutators of singular integrals with kernels satisfying generalized Hörmander conditions and extrapolation results to the variable exponent spaces ⋮ On boundedness of discrete multilinear singular integral operators ⋮ Translation-invariant bilinear operators with positive kernels ⋮ A Hörmander type multiplier theorem for multilinear operators ⋮ On oscillatory singular integrals and their commutators with non-convolutional Hölder class kernels ⋮ New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory ⋮ \(L^2\times L^2 \rightarrow L^1\) boundedness criteria ⋮ Weighted estimates for multilinear pseudodifferential operators ⋮ Maximal operators associated with bilinear multipliers of limited decay ⋮ XMO and weighted compact bilinear commutators ⋮ Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications ⋮ Weak and strong type estimates for the multilinear pseudo-differential operators ⋮ Uniform estimates on paraproducts. ⋮ \(H^p\) boundedness of multilinear spectral multipliers on stratified groups ⋮ On the boundedness of bilinear operators on products of Besov and Lebesgue spaces ⋮ The boundedness of commutators of multilinear Marcinkiewicz integral ⋮ Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity ⋮ Boundedness of multilinear pseudo-differential operators with symbols in the Hörmander class \(S_{0,0}\) ⋮ Iterated commutators of multilinear Calderón-Zygmund maximal operators on some function spaces ⋮ The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces ⋮ A kind of multilinear operator and the Schatten-von Neumann classes ⋮ New weighted norm inequalities for multilinear Calderón-Zygmund operators with kernels of Dini's type and their commutators ⋮ Weak and strong type estimates for multilinear Calderón-Zygmund operators on differential forms ⋮ Regularity and continuity of commutators of multilinear maximal operators ⋮ Trace ideals for pseudo-differential operators and their commutators with symbols in \(\alpha \)-modulation spaces ⋮ On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO ⋮ Bilinear Fourier multipliers ⋮ Multilinear pseudodifferential operators beyond Calderón-Zygmund theory ⋮ Multilinear Calderón-Zygmund theory ⋮ Some estimates for commutators of bilinear pseudo-differential operators ⋮ On the theory of multilinear Littlewood-Paley \(g\)-function ⋮ Multiplier conditions for boundedness into Hardy spaces
Cites Work