Boundedness of Marcinkiewicz integrals and their commutators in \(H^{1} (\mathbb R^{n} \times \mathbb R^{m})\)

DOI10.1007/s11425-006-0770-9zbMath1125.42006OpenAlexW1554057151MaRDI QIDQ862722

Yuan Zhou, Da Chun Yang

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0770-9

zbMATH Keywords

Hardy spaceboundednessLebesgue spaceatomMarcinkiewicz integralcommutatorLipschitz function

Mathematics Subject Classification ID

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

Related Items (5)

Boundedness in Lebesgue spaces for commutators of multilinear singular integrals and RBMO functions with non-doubling measures ⋮ Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces ⋮ Boundedness of sublinear operators on product Hardy spaces and its application ⋮ Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space ⋮ The boundedness of Marcinkiewicz integrals commutators on non-homogeneous metric measure spaces

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