Local Hardy spaces associated with inhomogeneous higher order elliptic operators
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Publication:2962425
DOI10.1142/S0219530515500189zbMath1361.42021MaRDI QIDQ2962425
Jun Cao, Svitlana Mayboroda, Da Chun Yang
Publication date: 16 February 2017
Published in: Analysis and Applications (Search for Journal in Brave)
Lipschitz spacemaximal functioncomplex interpolationRiesz transformlocal Hardy spacehigher order elliptic operatoroff-diagonal estimateellipticity conditionsquare functionparabolic Caccioppoli inequality
Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37) Higher-order elliptic systems (35J48)
Related Items (9)
A note on local Hardy spaces ⋮ Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators ⋮ Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates ⋮ Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms ⋮ Boundedness and compactness characterizations of Riesz transform commutators on Morrey spaces in the Bessel setting ⋮ Hardy Spaces with Variable Exponents ⋮ Gradient estimates via rearrangements for solutions of some Schrödinger equations ⋮ \(L^p\)-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on \(\mathbb{R}^n\)
Cites Work
- Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators
- Characterizations of Hardy spaces associated to higher order elliptic operators
- Hardy spaces associated with a pair of commuting operators
- Orlicz-Hardy spaces associated to operators satisfying bounded \(H_{\infty }\) functional calculus and Davies-Gaffney estimates
- Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients
- New Orlicz-Hardy spaces associated with divergence form elliptic operators
- Gaussian bounds for degenerate parabolic equations
- Hardy spaces of differential forms on Riemannian manifolds
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Old and new Morrey spaces with heat kernel bounds
- Hardy and BMO spaces associated to divergence form elliptic operators
- Some new function spaces and their applications to harmonic analysis.
- Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
- A local version of real Hardy spaces
- Area integral estimates for higher order elliptic equations and systems
- Equivalence between regularity theorems and heat kernel estimates for higher-order elliptic operators and systems under divergence form
- The Kato square root problem for higher order elliptic operators and systems on \(\mathbb{R}^n\)
- Weak type \((p,p)\) estimates for Riesz transforms
- Perturbation theory for linear operators.
- \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
- Sharp estimates for Green potentials on non-smooth domains
- Uniformly elliptic operators with measurable coefficients
- Compensated compactness and Hardy spaces
- Local Hardy spaces of Musielak-Orlicz type and their applications
- Hardy spaces \(H^p_L (\mathbb R^{n })\) associated with operators satisfying \(k\)-Davies-Gaffney estimates
- Local Hardy spaces of differential forms on Riemannian manifolds
- Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems
- A local version of Hardy spaces associated with operators on metric spaces
- Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
- \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
- \(H^p\) spaces of several variables
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. II: Off-diagonal estimates on spaces of homogeneous type
- Towards spaces of harmonic functions with traces in square Campanato spaces and their scaling invariants
- Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems
- COMPLEX INTERPOLATION ON BESOV-TYPE AND TRIEBEL–LIZORKIN-TYPE SPACES
- ORLICZ–HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES–GAFFNEY ESTIMATES
- Weighted local Orlicz–Hardy spaces with applications to pseudo-differential operators
- Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
- Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains
- REAL-VARIABLE CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH BESSEL OPERATORS
- Non-tangential Maximal Function Characterizations of Hardy Spaces Associated with Degenerate Elliptic Operators
- The conservation property of the heat equation on riemannian manifolds
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- Pointwise estimates for the polyharmonic Green function in general domains
- Localized Hardy spaces associated with operators
- On the interpolation of sublinear operators
- Entropy Numbers and Approximation Numbers in Function Spaces, II
- Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in 𝐑^{𝐍}
- L p Spectral Theory of Higher-Order Elliptic Differential Operators
- Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
- Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces
- New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
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