Variable Hardy spaces on non-tangentially accessible domains and their applications to div-curl lemma
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Publication:2082318
DOI10.1007/s12220-022-01025-8zbMath1505.42029OpenAlexW4297020678WikidataQ124829003 ScholiaQ124829003MaRDI QIDQ2082318
Chunyou Sun, Xiong Liu, Si Bei Yang
Publication date: 4 October 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12220-022-01025-8
gradient estimateelliptic operatorfractional integraldiv-curl lemmaRiesz transformNTA domainvariable Hardy space
Boundary value problems for second-order elliptic equations (35J25) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37)
Cites Work
- Maximal function characterizations of variable Hardy spaces associated with non-negative self-adjoint operators satisfying Gaussian estimates
- Atomic decompositions of Hardy spaces with variable exponents and its application to bounded linear operators
- Hardy spaces with variable exponents and generalized Campanato spaces
- Intrinsic square function characterizations of Hardy spaces with variable exponents
- Weights, extrapolation and the theory of Rubio de Francia.
- Lebesgue and Sobolev spaces with variable exponents
- New Orlicz-Hardy spaces associated with divergence form elliptic operators
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. I: General operator theory and weights
- Hardy and BMO spaces associated to divergence form elliptic operators
- Boundary behavior of harmonic functions in non-tangentially accessible domains
- Harmonic measure on locally flat domains
- Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
- Elliptic partial differential equations of second order
- Atomic decompositions of localized Hardy spaces with variable exponents and applications
- \(L^p\) bounds for Riesz transforms and square roots associated to second order elliptic operators
- Compensated compactness and Hardy spaces
- Sobolev-Poincaré implies John
- Hardy spaces and regularity for the inhomogeneous Dirichlet and Neumann problems
- Real-variable characterizations of Orlicz-Hardy spaces on strongly Lipschitz domains of \(\mathbb{R}^n\)
- Singular integral operators and sublinear operators on Hardy local Morrey spaces with variable exponents
- Atomic characterizations of variable Hardy spaces on domains and their applications
- Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents
- Regularity for Robin boundary problems of Laplace equations and Hardy spaces on \(C^1\) and (semi-)convex domains
- Fractional maximal operator on Musielak-Orlicz spaces over unbounded quasi-metric measure spaces
- Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications
- Atomic and maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators on spaces of homogeneous type
- \(H^ p\) theory on a smooth domain in \(\mathbb{R}^ N\) and elliptic boundary value problems
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Weighted norm inequalities, off-diagonal estimates and elliptic operators. II: Off-diagonal estimates on spaces of homogeneous type
- Kato square root problem for degenerate elliptic operators on bounded Lipschitz domains
- Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
- Hardy spaces with variable exponents on RD-spaces and applications
- Riesz transform on manifolds and heat kernel regularity
- Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
- Non-tangential Maximal Function Characterizations of Hardy Spaces Associated with Degenerate Elliptic Operators
- On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
- Weighted norm inequalities for fractional operators
- Hardy spaces, BMO, and boundary value problems for the Laplacian on a smooth domain in 𝐑^{𝐍}
- The dual of Hardy spaces on a bounded domain in ℝ n
- Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type
- Variable Hardy spaces associated with operators satisfying Davies–Gaffney estimates on metric measure spaces of homogeneous type
- 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 $\mathbb{R}^n$
- Classical Fourier Analysis
- Variable Hardy Spaces
- Variable Hardy Spaces Associated with Operators Satisfying Davies–Gaffney Estimates
- Hardy spaces associated with non-negative self-adjoint operators
- Some Maximal Inequalities
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