Harmonic analysis on product spaces

From MaRDI portal
Publication:1102482

DOI10.2307/1971346zbMath0644.42017OpenAlexW2325492385MaRDI QIDQ1102482

Robert A. Fefferman

Publication date: 1987

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1971346




Related Items

Atomic decomposition of weighted multi-parameter mixed Hardy spacesDuality of three-parameter Hardy spaces associated with a sum of two flag singular integralsA remark related pseudo-differential operators on multi-parameter Besov-Lipschitz and Triebel-Lizorkin spacesWavelet representation of singular integral operatorsThe boundedness of operators on weighted multi-parameter local Hardy spacesExtrapolation for weighted product Morrey spaces and some applicationsBoundedness of Journé operators with matrix weightsBoundedness of multi-parameter Fourier multiplier operators on Triebel-Lizorkin and Besov-Lipschitz spacesMulti-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular IntegralsExtrapolation to product Herz spaces and some applicationsHörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spacesCalderón-Zygmund operators on multiparameter Lipschitz spaces of homogeneous typeProduct Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous typeSingular Radon transforms and maximal functions under convexity assumptionsWeighted multiparameter local Hardy spacesWeighted little BMO and two-weight inequalities for Journé commutatorsSome Weighted Inequalities on Product DomainsBoundedness of bi-parameter pseudo-differential operators on bi-parameter \(\alpha\)-modulation spacesHigher order Journé commutators and characterizations of multi-parameter BMOTwo problems of Calderón-Zygmund theory on product-spacesHomogeneous Fourier multipliers of Marcinkiewicz typeWeighted Norm Inequalities for the Continuous Square FunctionMixed Hardy spaces and their applicationsMixed Lipschitz spaces and their applicationsSome new weighted estimates on product sales\(T1\) theorem on homogeneous product Besov spaces and product Triebel-Lizorkin spacesProduct \((\alpha_1, \alpha_2)\)-modulation spacesRégularité $L\sp p$ précisée des moyennes dans les équations de transportBoundedness of Marcinkiewicz integrals and their commutators in \(H^{1} (\mathbb R^{n} \times \mathbb R^{m})\)Product Besov and Triebel-Lizorkin spaces with application to nonlinear approximationCalderón-Zygmund operators on homogeneous product Lipschitz spacesHörmander type theorem for Fourier multipliers with optimal smoothness on Hardy spaces of arbitrary number of parametersCharacterizations of product Hardy spaces in Bessel settingAn energy method for averaging lemmasHardy space estimates for bi-parameter Littlewood-Paley square functionsHörmander type multiplier theorems on bi-parameter anisotropic Hardy spacesDouble Hilbert transform on \(\mathcal{D}(\mathbb R^2)\)Bilinear Calderón-Zygmund theory on product spacesA maximal function for families of Hilbert transforms Along homogeneous curvesBoundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spacesMaximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-parameter Flag SettingBoundedness of Hausdorff operators on some product Hardy type spacesIntegrability of the general product Hardy operators on the product Hardy spacesThree-parameter Hardy spaces associated with a sum of two flag singular integralsAnisotropic singular integrals in product spacesHardy spaces associated to Schrödinger operators on product spacesBoundedness criterion of Journé's class of singular integrals on multiparameter Hardy spacesSingular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parametersWeighted product Hardy space associated with operatorsCarleson embedding on the tri-tree and on the tri-discSome obstacles in characterising the boundedness of bi-parameter singular integralsHardy spaces associated with different homogeneities and boundedness of composition operatorsBoundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\)Boundedness of multi-parameter pseudo-differential operators on multi-parameter Lipschitz spacesCommutators of multiparameter flag singular integrals and applicationsMarcinkiewicz Multipliers and Lipschitz Spaces on Heisenberg GroupsTwo-weight norm inequalities for product fractional integral operatorsHörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothnessBoundedness of singular integrals in Journé's class on weighted multiparameter Hardy spacesDifferentiation of the integral, Hardy spaces and Calderón-Zygmund operators in the product settingNon-homogeneous \( T1\) theorem for bi-parameter singular integralsThe boundedness of composition operators on Triebel-Lizorkin and Besov spaces with different homogeneitiesRepresentation of bi-parameter singular integrals by dyadic operatorsWeighted anisotropic product Hardy spaces and boundedness of sublinear operatorsEstimates for the product weighted Hardy-Littlewood average and its commutator on product central Morrey spacesBoundedness of singular integrals on the flag Hardy spaces on Heisenberg groupMulti-parameter singular integral operators and representation theoremHp → Hp boundedness implies Hp → Lp boundednessMultiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous typeCalderón-Zygmund operators on product Hardy spacesLittlewood-Paley characterization and duality of weighted anisotropic product Hardy spacesAtomic decomposition and boundedness criterion of operators on multi-parameter Hardy spaces of homogeneous typeThe multiplier operators on the weighted product spacesMulti-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integralsWeighted Hardy spaces in the three-parameter caseA Discrete Transform and Triebel-Lizorkin Spaces on the BIDISCUnnamed Item\(H^p\) boundedness of Calderón-Zygmund operators on product spacesDiscrete Calderón's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spacesBoundedness of sublinear operators on product Hardy spaces and its applicationBoundedness of Calderón-Zygmund operators in product Hardy spacesEstimates for multiparameter maximal operators of Schrödinger typeDiscrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spacesDuality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operatorsBoundedness of bi-parameter Littlewood-Paley operators on product Hardy spaceStein-Weiss inequality on product spacesMulti-parameter hardy spaces via discrete Littlewood-Paley theoryBiparameter BMO under the action of a rotationRelations between product and flag Hardy spacesGenuinely multilinear weighted estimates for singular integrals in product spacesBoundedness of singular integrals with flag kernels on weighted flag Hardy spacesGlobal maximal inequality to a class of oscillatory integralsNote on duality of weighted multi-parameter Triebel-Lizorkin spacesThe boundedness on mixed Hardy spacesMolecular decomposition and a class of Fourier multipliers for bi-parameter modulation spacesDual spaces of multiparameter local Hardy spacesMulti-parameter local Hardy spacesSingular integrals associated with Zygmund dilationsBoundedness of bi-parameter Littlewood-Paley $g_{\lambda}^*$-function on Hardy spacesSingular integrals on Carleson measure spaces ${CMO}^p$ on product spaces of homogeneous typeBoundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spacesUnnamed ItemFefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operatorsClasses of singular integral operators along variable linesCharacterizations of bounded mean oscillation on the polydisk in terms of Hankel operators and Carleson measuresWeighted Littlewood–Paley inequality for arbitrary rectangles in ℝ²A $T(b)$ theorem on product spacesWeighted multi-parameter mixed Hardy spaces and their applicationsInhomogeneous Lipschitz spaces associated with flag singular integrals and their applications




This page was built for publication: Harmonic analysis on product spaces