Multilinear estimates and fractional integration
From MaRDI portal
Publication:1574686
DOI10.4310/MRL.1999.v6.n1.a1zbMath0952.42005OpenAlexW1997158594MaRDI QIDQ1574686
Carlos E. Kenig, Elias M. Stein
Publication date: 13 August 2000
Published in: Mathematical Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/mrl.1999.v6.n1.a1
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fractional derivatives and integrals (26A33) Integral operators (47G10)
Related Items
Multilinear interpolation between adjoint operators, On the behaviors of rough multilinear fractional integral and multi-sublinear fractional maximal operators both on product \(L^p\) and weighted \(L^p\) spaces, A remark on fractional type multiple weight classes and its application, Bilinear fractional integral operators on Morrey spaces, Endpoint estimates for generalized multilinear fractional integrals on the non-homogeneous metric spaces, Asymptotic behaviour of the QED perturbation series, Extrapolation in the scale of generalized reverse Hölder weights, Reconstruction of singularities from full scattering data by new estimates of bilinear Fourier multipliers, A bilinear pseudodifferential calculus, Interpolation of bilinear operators between quasi-Banach spaces, Higher order fractional Leibniz rule, Endpoint estimates for the commutators of multilinear Calderón-Zygmund operators with Dini type kernels, Endpoint estimates for multilinear singular integral operators, Bi-parameter and bilinear Calderón-Vaillancourt theorem with subcritical order, Sobolev-BMO and fractional integrals on super-critical ranges of Lebesgue spaces, Boundedness of multilinear singular integrals for non-doubling measures, Boundedness of bilinear multipliers whose symbols have a narrow support, The Hörmander multiplier theorem. II: The bilinear local \(L^2\) case, On the second iterate for critically diffusive active scalar equations, Multi-parameter paraproducts, Multiple weighted estimates for commutators of multilinear fractional integral operators, Fiber-wise Calderón-Zygmund decomposition and application to a bi-dimensional paraproduct, Sharp maximal and weighted estimates for multilinear iterated commutators of multilinear integrals with generalized kernels, Rough bilinear fractional integrals with variable kernels, Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures, Bilinear Fourier integral operators, Sharp bounds for multilinear fractional integral operators on Morrey type spaces, On the homogeneous Boltzmann equation with soft-potential collision kernels, Two-weight norm estimates for multilinear fractional integrals in classical Lebesgue spaces, Vector-valued maximal multilinear Calderón-Zygmund operator with nonsmooth kernel on weighted Morrey space, The bilinear Bochner-Riesz problem, Multilinear singular integral operators with generalized kernels and their multilinear commutators, Bilinear square functions and vector-valued Calderón-Zygmund operators, Some estimates of rough bilinear fractional integral, Bilinear fractional integral along homogeneous curves, Rough bilinear singular integrals, Method of rotations for bilinear singular integrals, \(\lambda \)-central BMO estimates for multilinear commutators of fractional integrals, Weighted estimates for iterated commutators of multilinear fractional operators, Commutators of weighted Lipschitz functions and multilinear singular integrals with non-smooth kernels, \(\lambda\)-central BMO estimates for commutators of multilinear maximal operators, Estimates for trilinear flag paraproducts on \(L^\infty\) and Hardy spaces, Uniform estimates on multi-linear operators with modulation symmetry., On a class of bilinear pseudodifferential operators, Minimal smoothness conditions for bilinear Fourier multipliers, Approaching bilinear multipliers via a functional calculus, Bilinear oscillatory integrals and boundedness for new bilinear multipliers, 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, Criterion on \(L^{p_1} \times L^{p_2} \rightarrow L^q\)-boundedness for oscillatory bilinear Hilbert transform, Bilinear Sobolev-Poincaré inequalities and Leibniz-type rules, Extrapolation of weighted norm inequalities for multivariable operators and applications, Endpoint estimates for multilinear fractional integrals with non-doubling measures, Commutators generated by multilinear Calderón-Zygmund type singular integral and Lipschitz functions, The sharp weighted bound for multilinear maximal functions and Calderón-Zygmund operators, On the multilinear fractional integral operators with correlation kernels, Existence and boundedness of multilinear Littlewood-Paley operators on Campanato spaces, Sharp maximal estimates for multilinear commutators of multilinear strongly singular Calderón-Zygmund operators and applications, \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels, On two-weight norm estimates for multilinear fractional maximal function, Multilinear theory of strongly singular Calderón-Zygmund operators and applications, Strong solutions and weak-strong uniqueness for the nonhomogeneous Navier-Stokes system, Multilinear Hardy-Cesáro operator and commutator on the product of Morrey-Herz spaces, Compactness of the commutator of bilinear Fourier multiplier operator, \(L^p\) boundedness for maximal functions associated with multi-linear pseudo-differential operators, Multilinear fractional integrals on Morrey spaces, Multilinear Riesz potential on Morrey-Herz spaces with non-doubling measures, Bilinear estimates on Morrey spaces by using average, Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators, Weighted estimates for the multilinear singular integral operators with non-smooth kernels, The Riesz potential as a multilinear operator into general \(\text{BMO}_{\beta}\) spaces, Bi-parameter paraproducts, Maximal operator for multilinear Calderón-Zygmund singular integral operators on weighted Hardy spaces, Necessary and sufficient conditions for the boundedness of rough multilinear fractional operators on Morrey-type spaces, On commutators of vector BMO functions and multilinear singular integrals with non-smooth kernels, End-point estimates and multi-parameter paraproducts on higher dimensional tori, Translation-invariant bilinear operators with positive kernels, A note on Campanato spaces and their applications, A Hörmander type multiplier theorem for multilinear operators, Tomography bounds for the Fourier extension operator and applications, The second iterate for the Navier-Stokes equation, Boundedness and compactness of commutators for bilinear fractional integral operators on Morrey spaces, New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory, Limited smoothness conditions with mixed norms for bilinear Fourier multipliers, Maximal operators associated with bilinear multipliers of limited decay, Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications, On the boundedness of bilinear operators on products of Besov and Lebesgue spaces, Weighted inequalities for multilinear fractional integral operators, Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity, Modulation space estimates for the fractional integral operators, Multilinear fractional integral operators on central Morrey spaces with variable exponent, The existence and boundedness of linear and multilinear Marcinkiewicz integrals on central Campanato spaces, Boundedness for multilinear fractional integral operators on Herz type spaces, Leibniz-type rules for bilinear Fourier multiplier operators with Besov regularity, New weighted norm inequalities for multilinear Calderón-Zygmund operators with kernels of Dini's type and their commutators, Weighted estimates for a class of multilinear fractional type operators, The Kato-Ponce inequality with polynomial weights, On compactness of commutators of multiplication and bilinear pseudodifferential operators and a new subspace of BMO, Weighted inequalities for one-sided multilinear fractional integrals, Multilinear Calderón-Zygmund theory, Weighted compact commutator of bilinear Fourier multiplier operator, Endpoint estimates for a trilinear pseudo-differential operator with flag symbols, Bounds for commutators of multilinear fractional integral operators with homogeneous kernels, Weighted endpoint estimates for commutators of multilinear fractional integral operators, Unboundedness of the trilinear Hilbert transform under the critical index, Multilinear integral operators in weighted grand Lebesgue spaces, The commutators of multilinear maximal and fractional-type operators on central Morrey spaces with variable exponent, Estimates of fractional integral operators on variable exponent Lebesgue spaces, The Hörmander multiplier theorem for multilinear operators, Bilinear Hörmander classes of critical order and Leibniz-type rules in Besov and local Hardy spaces, Bilinear interpolation theorems and applications, On the boundedness of the multilinear fractional integral operators, Multilinear BMO estimates for the commutators of multilinear fractional maximal and integral operators on the product generalized Morrey spaces, Boundedness of multilinear Littlewood-Paley operators on Amalgam-Campanato spaces, Bounds for multilinear operators under an integral type condition on Morrey spaces, Endpoint Sobolev boundedness and continuity of multilinear fractional maximal functions, Uniform estimates for paraproducts and related multilinear multipliers, Estimates for the commutator of bilinear Fourier multiplier, Bilinear integral operators with certain hypersingularities, The boundedness of multi-linear and multi-parameter pseudo-differential operators, The lifespan of small data solutions in two dimensional capillary water waves, Weighted estimates for bilinear Fourier multiplier operators with multiple weights, Multilinear fractional integral operators on generalized weighted Morrey spaces, Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces, Limiting weak type behavior for multilinear fractional integrals, Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols, Sharp estimates for commutators of bilinear operators on Morrey type spaces, Failure of the Hörmander kernel condition for multilinear Calderón-Zygmund operators, Multilinear multiplier theorems and applications, Some estimates of multilinear operators on weighted amalgam spaces (\(L^p,L^q_w)_t(\mathbb{R}^n\)), Bilinear multipliers on Banach function spaces, Notes on endpoint estimates for multilinear fractional integral operators, Some estimates of multi-sublinear operators and commutators on mixed \(\lambda\)-central Morrey spaces, Two-weight inequalities for multilinear maximal functions in Orlicz spaces, Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators, Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces, On the boundedness of multilinear Littlewood-Paley \(g_\lambda^\ast\) function, Multilinear Weighted Norm Inequalities Under Integral Type Regularity Conditions, Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness, Multilinear singular and fractional integral operators on weighted Morrey spaces, ENDPOINT ESTIMATES FOR MULTILINEAR FRACTIONAL INTEGRALS, Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents, Multilinear singular integrals and commutators on Herz space with variable exponent, Boundedness criterion for bilinear Fourier multiplier operators, Some estimates for the bilinear fractional integrals on the Morrey space, Multilinear Calderón-Zygmund operators with kernels of Dini's type and applications, Endpoint estimates for commutators of mutilinear square function satisfying some integrable condition, Commutators of multilinear Calderón–Zygmund operators with Dini type kernels on some function spaces, Transference on certain multilinear multiplier operators, Estimates for Brascamp-Lieb forms in $L^p$-spaces with power weights, Multilinear operators with non-smooth kernels and commutators of singular integrals, The Hörmander multiplier theorem for \(n\)-linear operators, New weighted estimates for bilinear fractional integral operators, Some weighted estimates on Gaussian measure spaces, Unnamed Item, Unnamed Item, Paraproducts with flag singularities. I: A case study, The novel classes of finite dimensional filters with non-maximal rank estimation algebra on state dimension four and rank of one, \(A_\infty\) weight estimates for vector-valued commutators of multilinear fractional integral, Compactness of the commutator of multilinear Fourier multiplier operator on weighted Lebesgue space, On the multilinear singular integrals and commutators in the weighted amalgam spaces, 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, Continuity properties for commutators of multilinear type operators on product of certain Hardy spaces, The \(L_{p_{1} r_{1}}\times L_{p_{2} r_{2}}\times\dots\times L_{p_{k}r_{k}}\) boundedness of rough multilinear fractional integral operators in the Lorentz spaces, Endpoint estimates for commutators of multilinear fractional integral operators, Multi-linear operators given by singular multipliers, $L^{p}$ estimates for multi-linear and multi-parameter pseudo-differential operators, Bilinear paraproducts revisited, Endpoint bounds for the bilinear Hilbert transform, Smoothing properties of bilinear operators and Leibniz-type rules in Lebesgue and mixed Lebesgue spaces, Characterization of CMO via compactness of the commutators of bilinear fractional integral operators, Boundedness of multilinear operators on generalized Morrey spaces, \(L^2\times L^2 \rightarrow L^1\) boundedness criteria, Weighted estimates for bilinear fractional integral operators and their commutators, 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, Weighted estimates for bilinear fractional integral operators: a necessary and sufficient condition for power weights, On the boundedness of multilinear fractional integral operators, A note on the bilinear fractional integral operator acting on Morrey spaces, Multilinear multipliers and singular integrals with smooth kernels on Hardy spaces, The boundedness of commutators of multilinear Marcinkiewicz integral, Weighted L p boundedness for multilinear fractional integral on product spaces, Endpoint estimates for multilinear fractional integral operators on metric measure spaces, Some weighted estimates for multilinear Fourier multiplier operators, A note on multilinear fractional integrals, Continuity property for the commutators of multilinear Calderón–Zygmund operators, Unnamed Item, Sharp weighted inequalities for multilinear fractional maximal operators and fractional integrals, Boundedness of fractional integrals on weighted Orlicz-Hardy spaces, \(L^p\)-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, Singular Brascamp–Lieb: A Survey, Boundedness and compactness for the commutators of bilinear operators on Morrey spaces, Compactness properties of commutators of bilinear fractional integrals, Boundedness of fractional integral operators on \(\alpha\)-modulation spaces, On the theory of multilinear Littlewood-Paley \(g\)-function, The multilinear Hörmander multiplier theorem with a Lorentz-Sobolev condition, Unnamed Item, Restricted estimates of the fractional integral on the diagonal, Unnamed Item, Weighted Lipschitz estimates for commutators of multilinear Calderón-Zygmund operators with Dini type kernels, On the boundedness of rough bi-parameter Fourier integral operators, The necessity theory for commutators of multilinear singular integral operators: the weighted case, On sharp Olsen's and trace inequalities for multilinear fractional integrals, Off-diagonal estimates for bilinear commutators, Two-weighted estimates of the multilinear fractional integral operator between weighted Lebesgue and Lipschitz spaces with optimal parameters, Sharp bounds for multilinear fractional integral operators on Morrey type spaces: the endpoint cases, Transference and restriction of bilinear Fourier multipliers on Orlicz spaces, Estimates for more Brascamp-Lieb forms in \(L^p\)-spaces with power weights, 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, A complete characterization of the generalized multilinear Sobolev inequality in grand product Lebesgue spaces defined on non-homogeneous spaces, Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces, Weighted estimates for bilinear fractional integral operator on the Heisenberg group, Endpoint Sobolev regularity of multilinear maximal operators, Unnamed Item, Unnamed Item, Olsen-type inequalities for the generalized commutator of multilinear fractional integrals, Truncations of multilinear Hankel operators, Bilinear operators with non-smooth symbol. I, On the Hörmander classes of bilinear pseudodifferential operators, Bilinear Calderón-Zygmund operators on Sobolev, BMO and Lipschitz spaces, Necessary and sufficient conditions for boundedness of multilinear fractional integrals with rough kernels on Morrey type spaces
