Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type

DOI10.1007/s00209-015-1577-6zbMath1335.42018arXiv1510.02559OpenAlexW2964042046WikidataQ60514413 ScholiaQ60514413MaRDI QIDQ269904

Peng Chen, Ji Li, Lesley A. Ward, Xuan Thinh Duong, Li Xin Yan

Publication date: 6 April 2016

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02559

zbMATH Keywords

interpolationatomic decompositionsingular integralsspaces of homogeneous typeheat kernel estimatesCalderón-Zygmund decompositionLebesgue spacesproduct Hardy spaces

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) (H^p)-spaces (42B30) Interpolation between normed linear spaces (46B70) Pseudodifferential operators (47G30)

Related Items

Product \((\alpha_1, \alpha_2)\)-modulation spaces ⋮ Characterizations of product Hardy spaces in Bessel setting ⋮ Atomic decomposition theorem for Hardy spaces on products of Siegel upper half spaces and bi-parameter Hardy spaces ⋮ Hardy spaces associated to self-adjoint operators on general domains ⋮ Weighted product Hardy space associated with operators ⋮ HARDY SPACES ON METRIC MEASURE SPACES WITH GENERALIZED SUB-GAUSSIAN HEAT KERNEL ESTIMATES ⋮ Marcinkiewicz-type spectral multipliers on Hardy and Lebesgue spaces on product spaces of homogeneous type ⋮ VMO spaces associated with operators with Gaussian upper bounds on product domains ⋮ Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators ⋮ Marcinkiewicz multipliers associated with the Kohn Laplacian on the Shilov boundary of the product domain in \(\mathbb{C}^{2n} \)

Cites Work

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• Marcinkiewicz-type spectral multipliers on Hardy and Lebesgue spaces on product spaces of homogeneous type
• On the theory of harmonic functions of several variables
• Hardy spaces of differential forms on Riemannian manifolds
• Hardy and BMO spaces associated to divergence form elliptic operators
• Singular integrals on product spaces
• Some new function spaces and their applications to harmonic analysis.
• Calderón-Zygmund operators on product spaces
• Harmonic analysis on product spaces
• Journé's covering lemma and its extension to higher dimensions
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• Weighted norm estimates and maximal regularity.
• On the \(L_{p}\)-theory of \(C_{0}\)-semigroups associated with second-order elliptic operators. II
• Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus
• Boundedness of sublinear operators on product Hardy spaces and its application
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains
• 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.)
• \(H^p\) spaces of several variables
• Criterions of the L^2 boundedness and sharp endpoint estimates for singular integral operators on product spaces of homogeneous type
• Duality of multiparameter Hardy spaces Hp on spaces of homogeneous type
• Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• On necessary and sufficient conditions for 𝐿^{𝑝}-estimates of Riesz transforms associated to elliptic operators on ℝⁿ and related estimates
• Classes of Hardy spaces associated with operators, duality theorem and applications
• Weighted anisotropic product Hardy spaces and boundedness of sublinear operators
• The Calderon-Zygmund Decomposition on Product Domains
• A Covering Lemma for Product Spaces
• Calderón-Zygmund theory for product domains: H ^p spaces
• H ^p theory for the poly-disc
• A T(b) theorem with remarks on analytic capacity and the Cauchy integral
• Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type
• L^p-Spectral Multipliers for some Elliptic Systems
• Spectral multiplier theorems of Hormander type on Hardy and Lebesgue spaces
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem
• New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications