Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators satisfying Gaussian estimates

DOI10.3934/cpaa.2016031zbMath1351.42026arXiv1603.04927OpenAlexW2964061764MaRDI QIDQ334498

Da Chun Yang, Si Bei Yang

Publication date: 1 November 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04927

zbMATH Keywords

atomsMusielak-Orlicz-Hardy spacesnon-tangential maximal functionGaussian estimatenon-negative self-adjoint operator

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items

Maximal function characterizations of variable Hardy spaces associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators ⋮ Maximal function characterizations of Hardy spaces associated with both non-negative self-adjoint operators satisfying Gaussian estimates and ball quasi-Banach function spaces ⋮ Variable Hardy spaces associated with operators satisfying Davies–Gaffney estimates on metric measure spaces of homogeneous type ⋮ Variable exponent Hardy spaces associated with discrete Laplacians on graphs ⋮ Maximal function characterizations for Hardy spaces associated with nonnegative self-adjoint operators on spaces of homogeneous type ⋮ Atomic and maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type ⋮ Molecular characterization of anisotropic weak Musielak-Orlicz Hardy spaces and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators
• Musielak-Orlicz-Hardy spaces associated with operators and their applications
• Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated with magnetic Schrödinger operators
• Weighted \(L^p\) estimates for powers of selfadjoint operators
• Orlicz spaces and modular spaces
• On the theory of harmonic functions of several variables
• New Orlicz-Hardy spaces associated with divergence form elliptic operators
• A maximal function characterization for Hardy spaces associated to nonnegative self-adjoint operators satisfying Gaussian estimates
• Riesz transforms associated to Schrödinger operators on weighted Hardy spaces
• Hardy and BMO spaces associated to divergence form elliptic operators
• Homeomorphisms preserving \(A_ p\)
• An atomic decomposition of distributions in parabolic \(H^p\) spaces
• Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
• Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
• Boundedness of second order Riesz transforms associated to Schrödinger operators on Musielak-Orlicz-Hardy spaces
• An atomic decomposition of weighted Hardy spaces associated to self-adjoint operators
• New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
• \(H^p\) spaces of several variables
• Bilinear decompositions and commutators of singular integral operators
• Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators
• Local Hardy spaces associated with inhomogeneous higher order elliptic operators
• ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES
• Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
• Modern Fourier Analysis
• Classes of Hardy spaces associated with operators, duality theorem and applications
• The Structure of the Reverse Holder Classes
• Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
• Orlicz-Hardy spaces associated with divergence operators on unbounded strongly Lipschitz domains of $\mathbb{R}^n$
• LUSIN AREA FUNCTION AND MOLECULAR CHARACTERIZATIONS OF MUSIELAK–ORLICZ HARDY SPACES AND THEIR APPLICATIONS