A note on certain block spaces on the unit sphere

DOI10.1007/s10114-005-0781-4zbMath1157.42306OpenAlexW2061176833MaRDI QIDQ882760

Xiang Rong Zhu, Xiao Feng Ye

Publication date: 24 May 2007

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

Full work available at URL: https://doi.org/10.1007/s10114-005-0781-4

zbMATH Keywords

Hardy spaceblock spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items (12)

Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces of revolution ⋮ \(L^p\) bounds for Marcinkiewicz integrals associated to homogeneous mappings ⋮ On the \(L^{2}\) boundedness of parametric Marcinkiewicz integral operator ⋮ A note on singular oscillatory integrals with certain rational phases ⋮ Rough Singular Integral Operators along Submanifolds ⋮ Applications of some block spaces to singular integrals ⋮ L^p boundedness for commutators of parabolic Littlewood-Paley operators with rough kernels ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces ⋮ On rough Marcinkiewicz integrals along surfaces ⋮ Boundedness of the Marcinkiewicz integrals with rough kernel associated to surfaces ⋮ On certain estimates for Marcinkiewicz integrals and extrapolation ⋮ Boundedness for a class of fractional integrals with a rough kernel related to block spaces

Cites Work

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• On singular intergrals along surfaces related to block spaces
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• A class of multilinear oscillatory singular integrals related to block spaces
• \(L^2(\mathbb R^n)\) boundedness for the commutators of homogeneous singular integral operators
• \(L^p\) bounds for the function of Marcinkiewicz.
• A note on Marcinkiewicz integrals with \(H^1\) kernels
• Rough Marcinkiewicz integrals related to surfaces of revolution
• Block Spaces on the Unit Sphere in R n
• Extensions of Hardy spaces and their use in analysis
• Singular integral operators with rough kernels supported by subvarieties
• Boundedness of higher order commutators of oscillatory singular integrals with rough kernels
• On the commutators of singular integrals related to block spaces
• On the function of Marcinkiewicz

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