\(\Theta\)-type Calderón-Zygmund operators with non-doubling measures

DOI10.1007/S10255-013-0217-3zbMath1270.42021OpenAlexW2020234404MaRDI QIDQ350742

Lisheng Shu, RuLong Xie

Publication date: 3 July 2013

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-013-0217-3

zbMATH Keywords

commutator\(\theta\)-type Calderón-Zygmund operator\(H_{\mathrm{atb}}^{1, \infty} (\mu)\) spacemultilinear commutatornon-doubling measureRBMO(\(\mu\)) space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30)

Related Items (9)

Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces ⋮ Multilinear fractional integral operators on non-homogeneous metric measure spaces ⋮ Multilinear strongly singular integral operators on non-homogeneous metric measure spaces ⋮ Boundedness for commutators of bilinear \(\theta\)-type Calderón-Zygmund operators on nonhomogeneous metric measure spaces ⋮ Boundedness of strongly singular integral operators on non-homogenous metric measure spaces ⋮ Unnamed Item ⋮ Boundedness of commutators of \(\theta\)-type Calderón-Zygmund operators on non-homogeneous metric measure spaces ⋮ Boundedness of \(\theta\)-type Calderón-Zygmund operators on non-homogeneous metric measure space ⋮ Boundedness of \(\theta\)-type Calderón-Zygmund operators on Hardy spaces with non-doubling measures

Cites Work

• Unnamed Item
• Multilinear commutators of Calderón--Zygmund operators on Hardy-type spaces with non-doubling measures
• A remark on the boundedness of Calderón-Zygmund operators in non-homogeneous spaces
• Multilinear commutators of singular integrals with non doubling measures
• Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
• A T (1) Theorem for Non-Doubling Measures with Atoms
• 𝐴_{𝑝} weights for nondoubling measures in 𝑅ⁿ and applications
• The space $H^1$ for nondoubling measures in terms of a grand maximal operator
• Generalizations of Calderón-Zygmund operators
• Estimates for maximal singular integral operators in non-homogeneous spaces
• Boundedness of commutators with Lipschitz functions in non-homogeneous spaces
• BMO, \(H^1\), and Calderón-Zygmund operators for non doubling measures
• A proof of the weak \((1,1)\) inequality for singular integrals with non doubling measures based on a Calderón-Zygmund decomposition
• Littlewood-Paley theory and the \(T(1)\) theorem with non-doubling measures

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