Parabolic maximal functions associated with a distribution

From MaRDI portal
Publication:1221354

DOI10.1016/0001-8708(75)90099-7zbMath0315.46037OpenAlexW4212771366WikidataQ104759991 ScholiaQ104759991MaRDI QIDQ1221354

Alberto Torchinsky, Alberto P. Calderón

Publication date: 1975

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(75)90099-7




Related Items

Finite atomic decomposition characterization of variable anisotropic Hardy spacesWeighted weak type \((1,1)\) estimates for singular integrals with non-isotropic homogeneityMaximal function characterizations of variable Hardy spaces associated with non-negative self-adjoint operators satisfying Gaussian estimatesBoundary values of vector-valued Hardy spaces on nonsmooth domains and the Radon-Nikodym propertyThe Green formula and \(H^ p\) spaces on treesLittlewood-Paley characterizations of anisotropic Hardy-Lorentz spacesEstimates for Lusin-area and Littlewood-Paley \(g_\lambda^*\) functions over spaces of homogeneous typeNew molecular characterizations of anisotropic Musielak-Orlicz Hardy spaces and their applicationsParabolic sublinear operators with rough kernel generated by parabolic Calderón-Zygmund operators and parabolic local Campanato space estimates for their commutators on the parabolic generalized local Morrey spacesVariable weak Hardy spaces and their applicationsAnisotropic interpolation theorems of Musielak-Orlicz typeThe boundedness for commutators of anisotropic Calderón-Zygmund operatorsFrequency-uniform decomposition method for the generalized BO, KdV and NLS equationsQuadratic variation functionals and dilation equationsAnisotropic Hardy-Lorentz spaces and their applicationsOn Haar bases for generalized dyadic Hardy spacesWeakly strongly singular integral operators on anisotropic Hardy spaces and their dual operatorsAn analogue for harmonic functions of Kolmogorov's law of the iterated logarithmInterpolation of linear operatorsAnisotropic variable Hardy-Lorentz spaces and their real interpolationParabolic singular integrals and uniformly rectifiable sets in the parabolic senseHigher-order Riesz transforms of Hermite operators on new Besov and Triebel-Lizorkin spacesWeak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolationSingular integral operators on tent spaces: a Calderón-Zygmund theory and weak-type endpoint estimatesReal-variable characterizations of new anisotropic mixed-norm Hardy spacesLittlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos BerensteinDuality of weighted anisotropic Besov and Triebel-Lizorkin spacesFrame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operatorsA decomposition into atoms of distributions on spaces of homogeneous typeAnisotropic two-microlocal spaces and regularityCharacterization of \(H^1\) Sobolev spaces by square functions of Marcinkiewicz typeLittlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applicationsThe molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponentsParabolic fractional maximal operator in modified parabolic Morrey spacesComplex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(O<p\leq\infty,\;O<q\leq \infty\)A maximal function characterization for Hardy spaces associated to nonnegative self-adjoint operators satisfying Gaussian estimatesAnisotropic singular integrals in product spacesComplex interpolation and Fourier multipliers for the spaces \(B^s_{p,q}\) and \(F^s_{p,q}\) of Besov-Hardy-Sobolev type: The case \(0<p\leq\infty, 0<q\leq\infty\)Frequency-scale frames and the solution of the Mexican hat problemMultipliers in \(H^ p(R^ n)\), \(0<p<\infty\)Maximal function characterizations of Hardy spaces associated with Schrödinger operators on nilpotent Lie groupsWeighted \(L^p\) estimates for the area integral associated with self-adjoint operators on homogeneous spaceSummability in anisotropic mixed-norm Hardy spacesHeat kernels of generalized degenerate Schrödinger operators and Hardy spacesReal-variable characterizations of Hardy-Lorentz spaces on spaces of homogeneous type with applications to real interpolation and boundedness of Calderón-Zygmund operatorsSingular integrals on product homogeneous groupsSome martingale inequalities with applications to harmonic analysisOn the gentle properties of anisotropic Besov spacesAnisotropic local Hardy spacesMolecular characterizations of variable anisotropic Hardy spaces with applications to boundedness of Calderón-Zygmund operatorsWeighted \(L^p\) estimates for the area integral associated to self-adjoint operatorsLittlewood-Paley and spectral multipliers on weighted \(L^p\) spacesEndpoint bounds for an analytic family of Hilbert transformsInequalities related to \(H^p\) smoothness of Sobolev typeNew Calderón reproducing formulae with exponential decay on spaces of homogeneous typeEstimates for Littlewood-Paley operators in \(\mathrm{BMO}(\mathbb R^n)\)\(\alpha\)-modulation spaces. I. Scaling, embedding and algebraic properties\(\mathcal {A}_{p, {\mathbb {E}}}\) weights, maximal operators, and Hardy spaces associated with a family of general setsRepresentation and uniqueness for boundary value elliptic problems via first order systemsAnisotropic Triebel-Lizorkin spaces with doubling measuresParametrized area integrals on Hardy spaces and weak Hardy spacesWeak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operatorsNew Hardy spaces associated with some anisotropic Herz spaces and their applicationsMaximal function characterizations for Hardy spaces associated with nonnegative self-adjoint operators on spaces of homogeneous typeLittlewood-Paley characterizations of Hajłasz-Sobolev and Triebel-Lizorkin spaces via averages on ballsVariable anisotropic Hardy spaces and their applicationsCharacterization of parabolic Hardy spaces by Littlewood-Paley functionsParabolic Littlewood-Paley \(g\) -function with rough kernelLittlewood-Paley characterization and duality of weighted anisotropic product Hardy spacesDuality and interpolation of anisotropic Triebel-Lizorkin spacesAtomic and molecular decompositions of anisotropic Besov spacesTwo-level-split decomposition of anisotropic Besov spacesMaximal functions and weighted norm inequalities on local fieldsHardy spaces associated with magnetic Schrödinger operators on strongly Lipschitz domainsParabolic maximal functions associated with a distribution. IISome finite dimensional integrable systems and their scattering behaviorAn atomic decomposition of distributions in parabolic \(H^p\) spacesRegularity estimates for Green operators of Dirichlet and Neumann problems on weighted Hardy spacesMaximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applicationsWeak Musielak-Orlicz Hardy spaces and applicationsAnisotropic weak Hardy spaces and interpolation theoremsLittlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. IComplex interpolation of \(H^ p\) spaces on product domainsA new Carleson measure adapted to multi-level ellipsoid coversMolecular characterization of anisotropic weak Musielak-Orlicz Hardy spaces and their applicationsAtomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applicationsFourier transform of anisotropic Hardy spacesAlmost everywhere convergence of quasiradial Bochner-Riesz meansParabolic \(L^p\) Dirichlet boundary value problem and VMO-type time-varying domainsNonisotropic dilations and the method of rotations with weightA constructive proof of the Fefferman-Stein decomposition of BMO(R**n)Singular integrals on product spacesExistence of minimisers of variational problems posed in spaces of mixed smoothnessBasis properties of Hardy spacesOn \(L^ 1\)-criteria for quasi-radial Fourier multipliers with applications to some anisotropic function spacesLusin functions and nontangential maximal functions in the \(H^ p\) theory on the product of upper half-spacesWeighted estimates of singular integrals and their applicationsParabolic maximal functions and potentials of distributions in H pOn the Littlewood-Paley and Marcinkiewicz functions in higher dimensionsOperator-valued anisotropic Hardy and BMO spacesSobolev spaces with non-isotropic dilations and square functions of Marcinkiewicz typeSolution to three-magnon problem for S=1/2 periodic quantum spin chains with elliptic exchangeMaximal function characterizations of Hardy spaces associated with magnetic Schrödinger operatorsEXISTENCE AND UNIQUENESS FOR A SEMILINEAR ELLIPTIC PROBLEM ON LIPSCHITZ DOMAINS IN RIEMANNIAN MANIFOLDSNice Sets of Multi-IndicesWeighted estimates for commutators of anisotropic Calderón-Zygmund operatorsFourier transform of variable anisotropic Hardy spaces with applications to Hardy-Littlewood inequalitiesMaximal function characterizations for new local Hardy-type spaces on spaces of homogeneous typeThe method of layer potentials inLpand endpoint spaces for elliptic operators withLcoefficientsA partial differential equation characterization of anisotropic Hardy spacesA Sobolev estimate for radial 𝐿^{𝑝}-multipliers on a class of semi-simple Lie groupsVariable anisotropic singular integral operatorsMixed radial‐angular integrability for rough maximal singular integrals and Marcinkiewicz integrals with mixed homogeneityAnisotropic ball Campanato-type function spaces and their applicationsUnnamed ItemAnisotropic Triebel-Lizorkin spaces and wavelet coefficient decay over one-parameter dilation groups. IUnnamed ItemThe Mihlin multiplier theorem on anisotropic mixed-norm Hardy spacesEstimation des fonctions de Littlewood-Paley-Stein sur les variétés riemanniennes à courbure non positivePotential Operators with Mixed HomogeneityOn a mean value inequalityPartial regularity for weak heat flows into riemannian homogeneous spacesSingular integrals on product domainsWEIGHTED ESTIMATES FOR CERTAIN ROUGH OPERATORS WITH APPLICATIONS TO VECTOR VALUED INEQUALITIESThe discrete Calderón reproducing formula of Frazier and JawerthORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATESDual spaces of anisotropic mixed-norm Hardy spacesAtomic and molecular decompositions of anisotropic Triebel-Lizorkin spacesA note for some parabolic multilinear commutators generated by a class of parabolic maximal and linear operators with rough kernel on the parabolic generalized local Morrey spacesExtrapolation of discrete Triebel‐Lizorkin spacesFourier Transform of Anisotropic Mixed-norm Hardy Spaces with Applications to Hardy-Littlewood InequalitiesRemarks on the interpolation of anisotropic spaces of Besov-Hardy-Sobolev typeSome multiplier theorems for anisotropic hardy spacesArea Integral Estimates for Caloric FunctionsWeak-type (1, 1) estimates for parabolic singular integralsProblems in harmonic analysis related to curvatureOn the spaces Fs p.q of iiardy-soblow type: equivalent quasi-norys , multipliers, spaces on doilains , regular elliptic botjndary vaiue prblemsWEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONSWeights, sharp maximal functions and hardy spacesOn besov - hardy - sobolev spaces in domains and regular elliptic boundary value problems. the caseAdams-Spanne type estimates for parabolic sublinear operators and their commutators with rough kernels on parabolic generalized Morrey spacesBoundedness of Littlewood-Paley operators relative to non-isotropic dilationsESTIMATES FOR SINGULAR INTEGRALS ALONG SURFACES OF REVOLUTIONWeak type estimates for functions of Marcinkiewicz type with fractional integrals of mixed homogeneityHardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimatesParabolic local Campanato estimates for commutators of parabolic fractional maximal and integral operators with rough kernel



Cites Work