A remark on the boundedness of Calderón-Zygmund operators in non-homogeneous spaces

DOI10.1007/S10114-005-0723-1zbMath1149.42008OpenAlexW2051501350MaRDI QIDQ884917

Xiao Li Fu, Da Chun Yang, Guo'en Hu

Publication date: 7 June 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0723-1

zbMATH Keywords

Hardy spaceCalderón-Zygmund operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (9)

Boundedness of some maximal commutators in Hardy-type spaces with non-doubling measures ⋮ \(\Theta\)-type Calderón-Zygmund operators with non-doubling measures ⋮ Boundedness of Calderón-Zygmund operators with finite non-doubling measures ⋮ Atomic Hardy-type spaces between \( H^1\) and \( L^1\) on metric spaces with non-doubling measures ⋮ Boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces: equivalent characterizations ⋮ Boundedness of commutators of \(\theta\)-type Calderón-Zygmund operators on non-homogeneous metric measure spaces ⋮ Maximal multilinear Calderón-Zygmund operators with non-doubling measures ⋮ 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
• Accretive system \(Tb\)-theorems on nonhomogeneous spaces.
• The fall of the doubling condition in Calderón-Zygmund theory
• Painlevé's problem and the semiadditivity of analytic capacity.
• The \(Tb\)-theorem on non-homogeneous 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
• 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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