Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators

DOI10.1515/forum-2014-0127zbMath1346.42021arXiv1504.05636OpenAlexW2963104660MaRDI QIDQ312775

Jun Cao, Svitlana Mayboroda, Da Chun Yang

Publication date: 9 September 2016

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05636

zbMATH Keywords

maximal functionHardy spacessquare functionsmoleculesRiesz transformhigher order elliptic operatorLusin area functionsoff-diagonal estimate

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) (H^p)-spaces (42B30) Harmonic analysis and PDEs (42B37) Higher-order elliptic systems (35J48)

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Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated to non-negative self-adjoint operators satisfying Gaussian estimates, Gradient estimates and the fundamental solution for higher-order elliptic systems with lower-order terms, Local Hardy spaces associated with inhomogeneous higher order elliptic operators, Tent space well-posedness for parabolic Cauchy problems with rough coefficients, \(L^p\)-gradient estimates for the commutators of the Kato square roots of second-order elliptic operators on \(\mathbb{R}^n\)

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