Boundedness for a class of generalized commutators on \(\lambda\)-central Morrey space

DOI10.1007/s10114-013-2174-4zbMath1278.42021OpenAlexW1977833981MaRDI QIDQ381062

Xiang Xing Tao, Xiao Yu

Publication date: 15 November 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-013-2174-4

zbMATH Keywords

central Morrey spacecentral-BMO spacegeneralized commutator

Mathematics Subject Classification ID

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

Related Items (5)

Weighted boundedness of some integral operators on weighted \(\lambda\)-central Morrey space ⋮ Boundedness for the generalized commutator of Sjölin type operators ⋮ Some estimates of multi-sublinear operators and commutators on mixed \(\lambda\)-central Morrey spaces ⋮ Olsen-type inequalities for the generalized commutator of multilinear fractional integrals ⋮ Boundedness for a class of generalized commutators of fractional Hardy operators with a rough kernel

Cites Work

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• \(\lambda \)-central \(BMO\) estimates for commutators of singular integral operators with rough kernels
• A BMO estimate for multilinear singular integrals
• Some new classes of Hardy spaces
• Spaces of bounded \(\lambda\)-central mean oscillation, Morrey spaces, and \(\lambda\)-central Carleson measures
• Notes on singular integrals on some inhomogeneous Herz spaces
• Construction and analysis of some convolution algebras
• CBMO estimates for commutators and multilinear singular integrals
• The Littlewood-Paley function and φ-trans-form characterizations of a new Hardy space HK₂ associated with the Herz space
• A remark on multilinear singular integrals with rough kernels.

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