Variable Hardy Spaces
From MaRDI portal
Publication:5174993
DOI10.1512/iumj.2014.63.5232zbMath1311.42053arXiv1211.6505OpenAlexW2962767674MaRDI QIDQ5174993
Daniel X. Wang, David V. Cruz-Uribe
Publication date: 19 February 2015
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.6505
atomic decompositionsingular integralsHardy-Littlewood maximal operatorvariable exponent Lebesgue spacesvariable exponent Hardy spaces
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)
Related Items
The Fourier transform of anisotropic Hardy spaces with variable exponents and their applications ⋮ Hardy's inequality on Hardy-Morrey spaces with variable exponents ⋮ Characterizations of variable exponent Hardy spaces via Riesz transforms ⋮ Molecular decomposition of anisotropic Hardy spaces with variable exponents ⋮ REAL-VARIABLE CHARACTERIZATIONS OF VARIABLE HARDY SPACES ON LIPSCHITZ DOMAINS OF ℝ n ⋮ Maximal function characterizations of variable Hardy spaces associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Equivalence among variable exponent Hardy or Bergman spaces ⋮ Variable weak Hardy spaces and their applications ⋮ Isomorphisms of variable Hardy spaces associated with Schrödinger operators ⋮ Doob's maximal inequalities for martingales in variable Lebesgue space ⋮ Atomic decomposition of predictable martingale Hardy space with variable exponents ⋮ New variable martingale Hardy spaces ⋮ Dual spaces for martingale Musielak-Orlicz Lorentz Hardy spaces ⋮ Fourier transform of variable anisotropic Hardy spaces with applications to Hardy-Littlewood inequalities ⋮ Anisotropic variable Hardy-Lorentz spaces and their real interpolation ⋮ Sublinear operators on mixed-norm Hardy spaces with variable exponents ⋮ Weak Hardy-type spaces associated with ball quasi-Banach function spaces. II: Littlewood-Paley characterizations and real interpolation ⋮ Commutators of bilinear pseudo-differential operators on local Hardy spaces with variable exponents ⋮ Some estimates of Schrödinger type operators on variable Lebesgue and Hardy spaces ⋮ Littlewood-Paley characterizations of Hardy-type spaces associated with ball quasi-Banach function spaces. In memory of Professor Carlos Berenstein ⋮ Abstract Hardy spaces with variable exponents ⋮ Fractional integral on martingale Hardy spaces with variable exponents ⋮ Unnamed Item ⋮ Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Multilinear pseudo-differential operators on product of local Hardy spaces with variable exponents ⋮ The dual spaces of variable anisotropic Hardy-Lorentz spaces and continuity of a class of linear operators ⋮ Littlewood-Paley and finite atomic characterizations of anisotropic variable Hardy-Lorentz spaces and their applications ⋮ Brezis-van Schaftingen-Yung formulae in ball Banach function spaces with applications to fractional Sobolev and Gagliardo-Nirenberg inequalities ⋮ Extrapolations on ball Banach function spaces and applications ⋮ A revisit to the atomic decomposition of weighted Hardy spaces ⋮ A new approach to norm inequalities on weighted and variable Hardy spaces ⋮ Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces ⋮ The dual space of variable weak Hardy space \(\mathcal{H}^{p(\cdot ),\infty}(\mathbb{R}^n)\) ⋮ Boundedness of singular integral operators on weak Herz type spaces with variable exponent ⋮ Discrete Paraproduct Operators on Variable Hardy Spaces ⋮ Real interpolation for variable martingale Hardy spaces ⋮ Intrinsic square function characterizations of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Unnamed Item ⋮ Necessary conditions for the boundedness of linear and bilinear commutators on Banach function spaces ⋮ BOUNDEDNESS OF GENERALIZED RIESZ POTENTIALS ON THE VARIABLE HARDY SPACES ⋮ Compactness characterizations of commutators on ball Banach function spaces ⋮ Variable Hardy spaces associated with operators satisfying Davies–Gaffney estimates on metric measure spaces of homogeneous type ⋮ Interpolation between \(H^{p(\cdot )}({\mathbb {R}}^n)\) and \(L^\infty ({\mathbb {R}}^n)\): real method ⋮ New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators ⋮ Variable Besov spaces associated with heat kernels ⋮ Molecular characterizations of variable anisotropic Hardy spaces with applications to boundedness of Calderón-Zygmund operators ⋮ Atomic characterizations of variable Hardy spaces on domains and their applications ⋮ Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents ⋮ Atomic decompositions of localized Hardy spaces with variable exponents and applications ⋮ Atomic decomposition for Morrey spaces ⋮ Some Hardy and Carleson measure spaces estimates for Bochner-Riesz means ⋮ Hardy Spaces with Variable Exponents ⋮ Variable exponent Hardy spaces associated with discrete Laplacians on graphs ⋮ Estimates of commutators on Herz-type spaces with variable exponent and applications ⋮ Doob’s and Burkholder-Davis-Gundy inequalities with variable exponent ⋮ Bilinear Calderón-Zygmund operators on products of variable Hardy spaces ⋮ Weak Hardy-type spaces associated with ball quasi-Banach function spaces. I: Decompositions with applications to boundedness of Calderón-Zygmund operators ⋮ Variable anisotropic Hardy spaces with variable exponents ⋮ Intrinsic square function characterizations of Hardy spaces with variable exponents ⋮ Variable anisotropic Hardy spaces and their applications ⋮ John-Nirenberg inequalities on Lebesgue spaces with variable exponents ⋮ Fractional integrals on variable Hardy-Morrey spaces ⋮ Characterization of boundedness of some commutators of maximal functions in terms of Lipschitz spaces ⋮ Hörmander type multipliers on anisotropic Hardy spaces ⋮ Atomic decomposition of Hardy-amalgam spaces ⋮ Unnamed Item ⋮ Molecular characterizations and dualities of variable exponent Hardy spaces associated with operators ⋮ Riesz transform characterizations of variable Hardy-Lorentz spaces ⋮ Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators ⋮ Variable martingale Hardy-Morrey spaces ⋮ Rough fractional integrals and its commutators on variable Morrey spaces ⋮ Weighted variable Hardy spaces on domains ⋮ Characterizations of variable martingale Hardy spaces via maximal functions ⋮ Intrinsic square function characterizations of variable weak Hardy spaces ⋮ Atomic decomposition for mixed Morrey spaces ⋮ Commutators of multilinear Calderón-Zygmund operators with kernels of Dini's type and applications ⋮ Applications of Hardy spaces associated with ball quasi-Banach function spaces ⋮ Intrinsic square function characterizations of variable Hardy-Lorentz spaces ⋮ Multilinear multipliers and singular integrals with smooth kernels on Hardy spaces ⋮ Real-variable characterizations of Orlicz-slice Hardy spaces ⋮ Variable Hardy Spaces Associated with Operators Satisfying Davies–Gaffney Estimates ⋮ Variable weak Hardy spaces \(WH_{L}^{p(\cdot)}(\mathbb{R}^{n})\) associated with operators satisfying Davies-Gaffney estimates ⋮ Sublinear operators on weighted Hardy spaces with variable exponents ⋮ Boundedness of Cesàro and Riesz means in variable dyadic Hardy spaces ⋮ Riesz transforms, Cauchy-Riemann systems, and Hardy-amalgam spaces ⋮ Some notes on commutators of the fractional maximal function on variable Lebesgue spaces ⋮ Extrapolation and weighted norm inequalities in the variable Lebesgue spaces ⋮ Hardy spaces with variable exponents on RD-spaces and applications ⋮ Growth envelopes of some variable and mixed function spaces ⋮ Boundedness of maximal operator for multilinear Calderón-Zygmund operators on products of variable Hardy spaces ⋮ Variable Hardy spaces on non-tangentially accessible domains and their applications to div-curl lemma ⋮ Carleson measure spaces with variable exponents and their applications ⋮ Variable Hardy spaces associated with Schrödinger operators on strongly Lipschitz domains with their applications to regularity for inhomogeneous Dirichlet problems ⋮ Equivalent characterizations of Hardy spaces with variable exponent via wavelets ⋮ Triebel-Lizorkin type spaces with variable exponents ⋮ Several remarks on Musielak-Orlicz Hardy spaces ⋮ \(\Phi\)-moment martingale inequalities on Lorentz spaces with variable exponents ⋮ Weighted variable Hardy spaces associated with para-accretive functions and boundedness of Calderón-Zygmund operators ⋮ Anisotropic variable Campanato-type spaces and their Carleson measure characterizations ⋮ Greedy bases in variable Lebesgue spaces ⋮ New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents ⋮ Calderón-Zygmund operators, Bochner-Riesz means, and parametric Marcinkiewicz integrals on Hardy-Morrey spaces with variable exponents ⋮ Preduals of variable Morrey-Campanato spaces and boundedness of operators ⋮ Generalized Brezis-Seeger-Van Schaftingen-Yung formulae and their applications in ball Banach Sobolev spaces ⋮ Characterization of \(B_{p(\cdot)}\) weight and some maximal characterizations of anisotropic weighted Hardy-Lorentz spaces with variable exponent ⋮ On the Dirichlet problem for the Schrödinger equation in the upper half-space ⋮ Real-variable theory of local variable Hardy spaces ⋮ Convergence of Vilenkin–Fourier series in variable Hardy spaces ⋮ Characterization of Lipschitz space via the commutators of fractional maximal functions on variable Lebesgue spaces ⋮ The continuity of pseudo-differential operators on Local variable Hardy spaces and their dual spaces ⋮ Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$ ⋮ Characterization of Lipschitz functions via commutators of multilinear singular integral operators in variable Lebesgue spaces ⋮ Bochner-Riesz means on Hardy spaces associated with ball quasi-Banach function spaces ⋮ Maximal operators of multilinear singular integrals on weighted Hardy type spaces ⋮ Inequalities for weighted spaces with variable exponents ⋮ Gagliardo representation of norms of ball quasi-Banach function spaces ⋮ The Bourgain-Brezis-Mironescu formula on ball Banach function spaces ⋮ Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces ⋮ Unnamed Item ⋮ Unnamed Item
This page was built for publication: Variable Hardy Spaces