Boundedness of higher-order Marcinkiewicz-type integrals

DOI10.1155/IJMMS/2006/31705zbMath1123.45008OpenAlexW2148351559MaRDI QIDQ884173

Hui Xia Mo, Lu, Shanzhen

Publication date: 13 June 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53535

zbMATH Keywords

Hardy spaceDini conditionTriebel-Lizorkin space

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) Integral operators (45P05)

Related Items (4)

Marcinkiewicz integral with rough kernels ⋮ Some results and problems on commutators ⋮ Generalized commutators for Marcinkiewicz type integrals with variable kernels ⋮ Two operators related to Marcinkiewicz integrals

Cites Work

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• On Marcinkiewicz integral with homogeneous kernels
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• The continuity of commutators on Triebel-Lizorkin spaces
• Multilinear singular and fractional integrals
• CONVOLUTION OPERATORS ON BANACH SPACE VALUED FUNCTIONS
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• Weighted Norm Inequalities for Fractional Integral Operators With Rough Kernel
• Some integral and maximal operators related to starlike sets
• Characterization of the Besov spaces via the commutator operator of Coifman, Rochberg and Weiss
• \(L^p\)-boundedness of Marcinkiewicz integrals with Hardy space function kernels

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