Orlicz-Hardy spaces associated with operators

DOI10.1007/s11425-008-0136-6zbMath1177.42018OpenAlexW2068793605MaRDI QIDQ1041543

Yuan Zhou, Da Chun Yang, Ren Jin Jiang

Publication date: 2 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0136-6

Mathematics Subject Classification ID

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 (35)

Norm estimates of \(\omega\)-circulant operator matrices and isomorphic operators for \(\omega\)-circulant algebra ⋮ Maximal function characterizations of variable Hardy spaces associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Boundedness of generalized Riesz transforms on Orlicz-Hardy spaces associated to operators ⋮ Intrinsic atomic and molecular decompositions of Hardy-Musielak-Orlicz spaces ⋮ Poisson semigroup, area function, and the characterization of Hardy space associated to degenerate Schrödinger operators ⋮ New Orlicz-Hardy spaces associated with divergence form elliptic operators ⋮ Regularity properties of the heat kernel and area integral characterization of Hardy space \(H_{\mathcal{L}}^1\) related to degenerate Schrödinger operators ⋮ Endpoint boundedness of Riesz transforms on Hardy spaces associated with operators ⋮ Commutators of Calderón-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrödinger operators ⋮ Local Hardy spaces of Musielak-Orlicz type and their applications ⋮ A new characterization of the Besov spaces associated with Hermite operator ⋮ Hardy spaces \(H^p_L (\mathbb R^{n })\) associated with operators satisfying \(k\)-Davies-Gaffney estimates ⋮ Predual spaces of Banach completions of Orlicz-Hardy spaces associated with operators ⋮ Applications of Orlicz-Hardy spaces associated with operators satisfying Poisson estimates ⋮ Vanishing mean oscillation spaces associated with operators satisfying Davies-Gaffney estimates ⋮ Weighted \(L^p\) estimates for the area integral associated with self-adjoint operators on homogeneous space ⋮ Calderón-Zygmund operators with variable kernels acting on weak Musielak-Orlicz Hardy spaces ⋮ The characterizations of Hardy–Sobolev spaces by fractional square functions related to Schrödinger operators ⋮ New real-variable characterizations of Musielak-Orlicz Hardy spaces ⋮ Boundedness of second order Riesz transforms associated to Schrödinger operators on Musielak-Orlicz-Hardy spaces ⋮ The higher order Riesz transform and \(BMO\) type space associated with Schrödinger operators on stratified Lie groups ⋮ Musielak-Orlicz-Hardy spaces associated with operators and their applications ⋮ ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES ⋮ Parametric Marcinkiewicz integrals with rough kernels acting on weak Musielak-Orlicz Hardy spaces ⋮ Generalized vanishing mean oscillation spaces associated with divergence form elliptic operators ⋮ Molecular characterizations and dualities of variable exponent Hardy spaces associated with operators ⋮ Variable integral and smooth exponent Besov spaces associated to non-negative self-adjoint operators ⋮ Area integral characterization of Hardy space \(H^1_L\) related to degenerate Schrödinger operators ⋮ Weighted norm inequalities for parametric Littlewood-Paley operators ⋮ Variable weak Hardy spaces \(WH_{L}^{p(\cdot)}(\mathbb{R}^{n})\) associated with operators satisfying Davies-Gaffney estimates ⋮ Riesz transforms on the Hardy space associated with generalized Schrödinger operators ⋮ Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates ⋮ Variable Hardy-Lorentz spaces associated to operators satisfying Davies-Gaffney estimates ⋮ Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems ⋮ Musielak–Orlicz Hardy Spaces Associated with Divergence Form Elliptic Operators Without Weight Assumptions

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